Functions Review

Front

What is the domain of a function?

Back

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

Front

What is a function?

Back

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

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

Evaluate f(-2) for the function f(x) = x² + 3.

Back

f(-2) = 7.

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

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 a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

Given g(x) = 4x - 7, find g(-9).

Back

g(-9) = -43.

Front

What is a possible scenario for a linear function?

Back

A scenario could be: You start with a certain amount of money and receive a fixed amount each day.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis (where x = 0).