Functions Review

Front

What is a linear function?

Back

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Its equation may involve exponents, roots, or other operations that create curves.

Front

How can you determine if a relation is a function?

Back

A relation is a function if each input (x-value) is associated with exactly one output (y-value). If any x-value corresponds to more than one y-value, it is not a function.

Front

Back

Front

Back

Front

Identify the equation of the linear function given the slope and y-intercept: slope = 1/3, y-intercept = 1.

Back

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements. This means each output is paired with exactly one input.

Front

Given the points {(0,1), (1,-3), (2,-4), (-4,1)}, which point can be added to keep it a function?

Back

The point (9,-4) can be added to keep it a function.

Front

What is the definition of a function?

Back

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

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.