OrlandoMath Regents Tutor

CHAPTER 10

SECTION 10.2

Function Notation

MINI LESSON

Function notation describes how each input is assigned exactly one output.

The notation f(x) means the output of the function when x is substituted into the rule.

To evaluate a function, replace the variable with the given value and simplify carefully.

Sometimes you are given an output and must work backward to solve for the input value.

Question 1

If g(x) = -2x^2 + 16, then g(-3) equals

Question 2

Given the function g(x) = \(\frac{2x+3}{x^2-2}\), what is the value of g(-2)?

Question 3

If f(x) = \(\frac{-3x-5}{2}\), what is the value of x when f(x) = -22?

Question 4

Given g(x) = x^3 + 2x^2 - x, what is the value of g(-3)?

Question 5

If f(x) = \(\frac{30x^2}{x+2}\), determine the value of f\(\frac{1}{2}\).

Answer Key