Evaluating Functions: Key Concepts and Examples

This video tutorial covers the basics of evaluating functions by substituting values into function expressions. It provides multiple examples, including linear functions and functions with exponents, demonstrating the process of substitution and the importance of following order of operations. The tutorial also highlights common mistakes, especially when dealing with negative inputs, and offers strategies to avoid them.

What does it mean to evaluate a function?

• To substitute a value into the function

• To find the derivative of the function

• To graph the function

• To integrate the function

In the function f(x) = 2x + 4, what is f(5)?

• 12

• 14

• 10

• 16

What is the first step in evaluating a function at a specific value?

• Multiply the input by 2

• Square the input

• Add 4 to the input

• Rewrite the function with parentheses instead of the variable

For the function f(x) = 3x + 1, what is f(2)?

• 8

• 6

• 5

• 7

When evaluating f(x) = 3x + 1 at x = 2, what is the result of 3 times 2?

• 5

• 6

• 7

• 8

In the function f(z) = z^2 - 2z + 5, what is f(3)?

• 9

• 6

• 7

• 8

What is the value of 3 squared in the function f(z) = z^2 - 2z + 5?

• 15

• 12

• 9

• 6

For the function g(b) = 7b - 2, what is g(-1)?

• -5

• -11

• -7

• -9

What is the result of 7 times -1 in the function g(b) = 7b - 2?

• -9

• -11

• -5

• -7

In the function h(y) = 5 - y, what is h(-3)?

• 2

• 10

• 5

• 8