Foundations Functions Review

Front

What is the term for all of the x values or inputs in a function?

Back

Domain

Front

What is the independent variable in a function?

Back

x

Front

In the function f(x) = -4x - 10, what is the value of x when f(x) = 10?

Back

x = -5

Front

What is the output of the function f(x) = 6x - 9 when x = 4?

Back

(4, 15)

Front

What is the term for the set of all possible outputs of a function?

Back

Range

Front

What is the difference between a function and a relation?

Back

A function assigns exactly one output for each input, while a relation can assign multiple outputs for a single input.

Front

What does it mean for a function to be linear?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept of a linear function?

Back

Set x = 0 in the function and solve for y.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the steepness of the line and the direction of the relationship between x and y.