Evaluate Function Notation

Related Topics:
Common Core (Functions)
Common Core for Mathematics

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Examples, solutions, videos, and lessons to help High School students learn how to use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

Common Core: HSF-IF.A.2

Function Notation & Function Values

Using Function Notation - What is f(x)?
What is f(x)? It is a different way of writing “y” in equations, but it’s much more useful.

Function Notation
This lesson introduces function notation and provides several examples of determining function values.

  1. Given f(x) = x2 - 5x + 6
    find f(4), f(-3)
  2. Given g(t) = -t2 + 2t - 12
    find g(-3), g(3x)
  3. Given h(y) = 2y2 - y + 7
    find h(m - 2)

Find the Linear Function Given Two Function Values in Function Notation
This video introduces how function values in function notation gives points on the graph which can be used to determine the equation of the linear function.
Determine the equations of the linear function given
f(-1) = -7 and f(2) = -2

Determine Function Values Using Function Notation on the TI84
This video provides two examples of how to determine function values using function notation on the TI84 graphing calculator. The results are verified graphically.
Given f(x) = -2x2 + 3x + 7, find the following function values using your graphing calculator.
f(-1) and f(3/4)

Function Notation Application
This video provides an example of how to express given information using function notation.

Function Notation Application Problem
This video provides two examples of how a function value expressed using function notation can be used to express a real life problem.

Operations on Function

Operations on functions.
What the function notation looks like?
How to add, subtract, multiply and divide functions?

Function Operations
Adding, subtracting, multiplying and dividing functions.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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