Identify and Evaluate Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

How do you determine if a relation is a function?

Back

A relation is a function if every x-value has only one corresponding y-value.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Evaluate g(x) = 5 - 6x for g(-5).

Back

g(-5) = 35.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the line represented by the function f(x) = 2x - 10?

Back

The slope is 2.

Front

If f(x) = 2(x - 7), what is f(5)?

Back

f(5) = -4.

Front

What is the y-intercept of the function f(x) = 3x + 4?

Back

The y-intercept is 4.

Front

Is the mapping {(1,2), (2,3), (1,4)} a function?

Back

No, because the x-value 1 has two different y-values (2 and 4).

Front

What is the output of the function f(x) = x^2 for f(3)?

Back

f(3) = 9.