Evaluating Function Notation in Linear Functions

What is a function in mathematical terms?

• A collection of equations.

• A set of unrelated rules.

• A random association of numbers.

• A relationship between two variables.

In the box analogy, what does the box represent?

• A set of rules that maps x to y.

• A calculator.

• A storage container for numbers.

• A random number generator.

If f(x) is defined as producing 1 when x=0, 2 when x=1, and 3 otherwise, what is f(7)?

• 2

• 7

• 1

• 3

What is f(2) if the function is defined as producing 1 when x=0, 2 when x=1, and 3 otherwise?

• 0

• 1

• 3

• 2

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

• 6

• 9

• -6

• -9

For the function f(x) = -2x + 3, what is f(7)?

• 11

• -14

• 14

• -11

What is f(0) for the function f(x) = -2x + 3?

• -3

• 2

• 3

• 0

For the function f(x) = 5(2 - x) / 11, what is f(-3)?

• 25/11

• -10/11

• -25/11

• 10/11

Which of the following is a valid function?

• A function that produces two different outputs for the same input.

• A function that produces one output for each input.

• A function that produces no output for any input.

• A function that produces random outputs.

What does the vertical line test determine?

• If a graph is continuous.

• If a graph has a maximum value.

• If a graph is symmetrical.

• If a graph represents a valid function.