Relations and Functions

Front

What is the RANGE of a function?

Back

The RANGE of a function is the set of all possible output values (y-values) that the function can produce.

Front

If f(x) = -4x - 5, what is f(1)?

Back

f(1) = -4(1) - 5 = -9.

Front

What is f(6) for the function f(x)=3x-8?

Back

f(6) = 3(6) - 8 = 10.

Front

What is the RANGE of the function if y ≤ 4?

Back

The RANGE includes all values of y that are less than or equal to 4.

Front

What is the range of the graph if 1 ≤ y ≤ 5?

Back

The range includes all y-values from 1 to 5, inclusive.

Front

Define a function.

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b.

Front

What is the slope of the line represented by the function f(x) = 2x + 3?

Back

The slope is 2.

Front

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

Back

The y-intercept is found by evaluating the function at x = 0.