Math 8 (Module 5) Exploring Functions and Their Properties

What is a function?

• A function is a random assignment of outputs to inputs.

• A function is a type of variable in programming.

• A function is a collection of unrelated values.

• A function is a relation that assigns exactly one output to each input.

Identify the function from the table: x | y 1 | 2 2 | 4 3 | 6

• y = 2x

• y = x + 1

• y = x^2

• y = 3x

Construct a linear function from the points (1, 2) and (3, 6).

• y = 2x

• y = 3x - 1

• y = 4x - 2

• y = x + 2

What is the slope of the function y = 3x + 1?

• 3

• 0

• -3

• 1

Compare the functions f(x) = 2x + 3 and g(x) = 3x + 1. Which has a greater slope?

• f(x) has a greater slope.

• Both functions have the same slope.

• g(x) has a lesser slope.

• g(x) has a greater slope.

If f(x) = x + 5, what is f(10)?

• 20

• 10

• 15

• 5

Create a function table for the function f(x) = 2x - 1 for x = 0, 1, 2, 3.

• Function table: x: 0, f(x): -2; x: 1, f(x): 0; x: 2, f(x): 2; x: 3, f(x): 4.

• Function table: x: 0, f(x): -1; x: 1, f(x): 1; x: 2, f(x): 3; x: 3, f(x): 5.

• Function table: x: 0, f(x): 0; x: 1, f(x): 2; x: 2, f(x): 4; x: 3, f(x): 6.

• Function table: x: 0, f(x): -1; x: 1, f(x): 3; x: 2, f(x): 5; x: 3, f(x): 7.

What is the y-intercept of the function y = -4x + 7?

• 7.5

• 0

• -4

• 7

Identify the domain of the function f(x) = 1/(x - 2).

• All real numbers

• x = 2 only

• x < 2

• All real numbers except x = 2

How do you determine if a relation is a function?

• A relation is a function if each input is related to exactly one output.

• A relation is a function if it is represented graphically as a straight line.

• A relation is a function if it includes at least one output for every input.

• A relation is a function if it has multiple outputs for the same input.