Worked example: evaluating functions from graph | Algebra (video) | Khan Academy (2024)

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  • Sujesh Devdassahastrabuddeheshanticurry Ramkrishnabhagawan

    7 years agoPosted 7 years ago. Direct link to Sujesh Devdassahastrabuddeheshanticurry Ramkrishnabhagawan's post “Why is it always f(x) and...”

    Why is it always f(x) and not any other letters?

    (12 votes)

    • David Severin

      7 years agoPosted 7 years ago. Direct link to David Severin's post “Wait until you get to Alg...”

      Worked example: evaluating functions from graph | Algebra (video) | Khan Academy (4)

      Wait until you get to Algebra 2 when you have to start combining multiple functions, you will start seeing g(x), h(x) etc. In Algebra I, you are just getting used to functional notation, but the power of functional notation over y= form will come later.

      (18 votes)

  • Sterling Holmes

    4 years agoPosted 4 years ago. Direct link to Sterling Holmes's post “I don't understand someth...”

    I don't understand something. When asked to find f(x), what am I being asked to find? Where do I look to find it?

    (6 votes)

    • Chic- Fila

      4 years agoPosted 4 years ago. Direct link to Chic- Fila's post “When it says 'f(x)' it is...”

      Worked example: evaluating functions from graph | Algebra (video) | Khan Academy (8)

      When it says 'f(x)' it is generally talking about the y. So when you write an equation like f(x)=2x+3. it in other words is saying y=2x+3.

      I hope that made some sort of sense... If you want me to explain it in greater detail.. just let me know! <3

      (18 votes)

  • lotuswells999

    9 years agoPosted 9 years ago. Direct link to lotuswells999's post “How to graph a Parabola”

    How to graph a Parabola

    (5 votes)

    • Aaron Ghosh

      2 years agoPosted 2 years ago. Direct link to Aaron Ghosh's post “A Parabola could be graph...”

      A Parabola could be graphed when given the following skeleton equation: ax^2+bx+c. However, it is not easy to explain how to graph parabolas over comments, so it would be much wiser to follow MyAnchorHolds' suggestion and view the videos on Khan Academy.

      (5 votes)

  • jsrodriguez

    4 years agoPosted 4 years ago. Direct link to jsrodriguez's post “What if the function is f...”

    What if the function is f(-3) but there’s two points going vertically thru -3

    (7 votes)

    • loumast17

      4 years agoPosted 4 years ago. Direct link to loumast17's post “Then it is not a function...”

      Then it is not a function. A function can only have one y value for every x value. Important to remember there can be multiple x values for a single y value. Kind of confusing but important to remember. if you know it, the vertical line test will tell you if something is a function.

      (7 votes)

  • Abu Backer Sayeed

    8 years agoPosted 8 years ago. Direct link to Abu Backer Sayeed's post “can anyone please tell me...”

    can anyone please tell me what would be the answer of
    f : x > x^2 -5x

    a) find the value of f(-2)
    b) find the value of ff(2)
    c) find the range of f if domain is {-1, 0, 1}

    it would be really grateful of you

    (7 votes)

    • David Severin

      8 years agoPosted 8 years ago. Direct link to David Severin's post “f(x)> x^2 - 5x so by subs...”

      f(x)> x^2 - 5x so by substitution,
      a) f(-2) > (-2)^2 - 5(-2) 4 - (- 10) = 14
      f(-2)> 14
      b) f(2) > (2)^2- 5(2) 4-10 = -6
      f(2) > -6
      c) f(-1) > (-1)^2 -5(-1) f(-1)> 6
      f(0) > 0^2 - 5(0 f(0) > 0
      f(1) = (1)^2 -5(1) f(1) > -4
      I have not seen this type of problem with limited domain with inequality, but
      since the range is the f(x),
      my best guess on how to write it would be {f(x)>6, f(x)>0, f(x)>-4}

      (6 votes)

  • rebpap2911

    6 years agoPosted 6 years ago. Direct link to rebpap2911's post “I do not get this at all ...”

    I do not get this at all I have a test in a few days, this is SO complicated. I need some help. PLEASE HELP ME
    And please answer fast

    (6 votes)

    • shaposhnikovd

      3 years agoPosted 3 years ago. Direct link to shaposhnikovd's post “I know this isn't really ...”

      I know this isn't really a fast answer, but,
      basically he is just saying that when the x coordinate is at -1, the y coordinate is 6 on the line.
      He just wants you to find out the y coordinate by using the line, when x (F) is given to you.
      Reply if you actually read this. you probably already got it, but ill write this anyway.

      (3 votes)

  • acealena

    4 years agoPosted 4 years ago. Direct link to acealena's post “Can I write the function ...”

    Can I write the function as f=x+1?

    (4 votes)

    • Neil

      4 years agoPosted 4 years ago. Direct link to Neil's post “My answer: kinda. You can...”

      My answer: kinda. You can write it like that, and it is technically correct, but it is common practice to either write it in: y=mx+b or f(x)=mx+b.
      Hope that helps!

      (5 votes)

  • Dallin Smith

    a year agoPosted a year ago. Direct link to Dallin Smith's post “Sal Khan is smart, so why...”

    Sal Khan is smart, so why is the line all spaghetti like.

    (5 votes)

    • Bani Hundal

      a year agoPosted a year ago. Direct link to Bani Hundal's post “This is hand drawn, so th...”

      This is hand drawn, so this is not that perfect though he's smart.

      (3 votes)

  • Scott, Claire

    a year agoPosted a year ago. Direct link to Scott, Claire's post “why is the line in such a...”

    why is the line in such a weird shape

    (4 votes)

    • Kim Seidel

      a year agoPosted a year ago. Direct link to Kim Seidel's post “Likely because Sal wanted...”

      Likely because Sal wanted to show you a non-typical function.

      (3 votes)

  • Kitkat100

    5 months agoPosted 5 months ago. Direct link to Kitkat100's post “I am just trying to learn...”

    I am just trying to learn how to turn a graph into a function. That's all. So why didn't they explain dis better? HELP ME! Can someone tell me how to turn a graph into a function?

    (3 votes)

    • Kim Seidel

      5 months agoPosted 5 months ago. Direct link to Kim Seidel's post “You need to provide more ...”

      You need to provide more info...
      1) Are you asking how you determine if the graph is/isn't a function? The graph either is or isn't a function already. Use the vertical line test to determine if the graph is a function. If you can draw a vertical line anywhere in the coordinate plane and the line only crosses the graph once, then the graph is a function.
      2) Or, are you being asked to create the equation that would create the graph and then show the equation in function notation? If this is what you were asked to do, you need to know what type of graph you have: linear, quadratic, polynomial, exponential, etc. Each have different techniques for creating an equation from the graph. Once you know the type of graph, you can use the search bar to find lessons on writing equations of that type.

      (4 votes)

Worked example: evaluating functions from graph | Algebra (video) | Khan Academy (2024)

FAQs

How do you evaluate a function in Algebra 1? ›

Evaluating a function means finding the value of f(x) =… or y =… that corresponds to a given value of x. To do this, simply replace all the x variables with whatever x has been assigned. For example, if we are asked to evaluate f(4), then x has been assigned the value of 4.

What is an example of evaluating function in math? ›

Example: Evaluating Functions

Given the function h(p)=p2+2p h ( p ) = p 2 + 2 p , evaluate h(4) . To evaluate h(4) h ( 4 ) , we substitute the value 4 for the input variable p p in the given function. Therefore, for an input of 4, we have an output of 24 or h(4)=24 h ( 4 ) = 24 .

Are functions algebra 1 or 2? ›

Not only are functions fun, they are the basis of all of Algebra 1 – linear, quadratic, and exponential. Out of 49 Texas standards in Algebra 1, 20 involve functions — that is over 40%!

How to evaluate f(o) on a graph? ›

To evaluate f(0) means to find the output of the function when the input is 0. To do this, find the point on the graph that has an x-value of zero. This will be the place where the graph crosses the y-axis. For this function an input of 0 produces an output of 1.

What is an example of evaluation in math? ›

To evaluate simply means finding the value of something. In mathematics, the term “evaluate” refers to finding the numerical value or result of a mathematical expression or equation. For example, to evaluate the expression “5 + 3” means to perform the addition and find the sum, which is 8.

What is an example of a function formula? ›

An example of a simple function is f(x) = x2. In this function, the function f(x) takes the value of “x” and then squares it. For instance, if x = 3, then f(3) = 9. A few more examples of functions are: f(x) = sin x, f(x) = x2 + 3, f(x) = 1/x, f(x) = 2x + 3, etc.

Which is harder, algebra 1 or algebra 2? ›

The level of difficulty increases with Algebra 2. It is a level above Algebra 1, and it is an advanced version of the concepts that students learned there. Students who have completed Algebra 1 are better prepared to tackle the more advanced concepts covered in Algebra 2.

Is function algebra or calculus? ›

Algebra is primarily concerned with solving equations, while calculus is primarily concerned with calculating the instantaneous rate of change of functions. For example, algebra allows us to calculate the slope of a straight line, which is called the average rate of change.

What grade of math is functions? ›

Functions | Grade 8 | Common Core Math | CK-12 Foundation. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

How to determine function from graph? ›

Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

How do you identify the function of the given graph? ›

key idea. You can use the vertical line test on a graph to determine whether a relation is a function. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value. So, the relation is a function.

How do you solve a function with a graph? ›

Step ‍ : Approximate the point(s) at which the graphs of the functions intersect. The ‍ coordinate of the point(s) where the graphs of the functions intersect will be the solution(s) to the equation.

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