Identifying Functions

Front

What is a function?

Back

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

Front

What does it mean for a function to be linear?

Back

A linear function is a function whose graph is a straight line, and it can be expressed in the form y = mx + b.

Front

What does it mean for a function to be nonlinear?

Back

A nonlinear function is a function whose graph is not a straight line, and it may include curves, parabolas, or other shapes.

Front

Identify if the following function is linear or nonlinear: y = 2x + 3.

Back

Linear Function.

Front

Identify if the following function is linear or nonlinear: y = x^2 + 2.

Back

Nonlinear Function.

Front

What is the vertical line test?

Back

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

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 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 a function has the equation y = 3x - 5, what is the slope?

Back

The slope is 3.

Front

If a function has the equation y = -2x + 4, what is the y-intercept?

Back

The y-intercept is 4.