Evaluating Functions and Function Notation

This video tutorial introduces function notation and how to evaluate functions. It covers the basics of function notation, demonstrates evaluating functions over a domain, and explains key concepts and common errors. The tutorial includes practice problems and a real-world example involving a petition to illustrate the application of functions.

What does the notation f(x) represent in function notation?

• f plus x

• f of x

• f divided by x

• f times x

If f(x) = 2x, what is the value of f(3)?

• 3

• 6

• 9

• 12

What is the range of the function f(x) = 2x over the domain {1, 2, 3}?

• {3, 6, 9}

• {1, 2, 3}

• {2, 4, 6}

• {4, 8, 12}

To evaluate f(2) in the function f(x) = x + 1, what should you do?

• Multiply x by 2

• Replace x with 2

• Add 2 to x

• Replace x with 1

What is a common misconception about function notation?

• Thinking f(x) means f minus x

• Thinking f(x) means f divided by x

• Thinking f(x) means f times x

• Thinking f(x) means f plus x

What is the value of f(1) for the function f(x) = 4x - 7?

• 3

• -3

• 7

• 1

What is the range of the function f(x) = 4x - 7 over the domain {1, 2, 3, 4}?

• {-3, 1, 5, 9}

• {-7, -3, 1, 5}

• {-3, 0, 3, 6}

• {-4, 0, 4, 8}

In the function f(x) = 32 * 2^x, what does f(3) represent?

• The number of signatures on day 4

• The number of signatures on day 3

• The number of signatures on day 2

• The number of signatures on day 1

What is the value of 2^3 in the function f(x) = 32 * 2^x?

• 4

• 8

• 6

• 10

What is the value of f(3) for the function f(x) = 32 * 2^x?

• 64

• 128

• 256

• 512