Evaluating Functions in MATH 120

The video tutorial reviews the concept of evaluating functions using function notation. It explains how to substitute values into functions and provides examples using two different functions, f(x) = x^2 - 2x and g(x) = √(3 - x). The tutorial demonstrates evaluating these functions with various inputs, including numbers, variables, and expressions, and simplifies the results.

What does function notation indicate?

• The function's name and its domain

• The function's name and its derivative

• The function's name and its range

• The function's name and the value to be substituted

If f(x) = x^2 - 2x, what is f(1)?

• 2

• -1

• 1

• 0

For the function f(x) = x^2 - 2x, what is f(-2)?

• 4

• 8

• -4

• -8

Given f(x) = x^2 - 2x, what is f(k)?

• k^2 + k

• 2k - k^2

• k^2 + 2k

• k^2 - 2k

For f(x) = x^2 - 2x, what is f(x - 1)?

• x^2 - 2x - 1

• x^2 - 4x + 1

• x^2 - 4x + 3

• x^2 - 2x + 1

If g(x) = sqrt(3 - x), what is g(3)?

• 1

• sqrt(3)

• 0

• 3

For the function g(x) = sqrt(3 - x), what is g(-1)?

• 4

• 2

• sqrt(3)

• sqrt(2)

Given g(x) = sqrt(3 - x), what is g(x + 3)?

• sqrt(3 - x + 3)

• sqrt(3 - x)

• sqrt(-x)

• sqrt(3 - x - 3)

For g(x) = sqrt(3 - x), what is g(x + h)?

• sqrt(-x - h)

• sqrt(3 - x)

• sqrt(3 - x - h)

• sqrt(3 - x + h)