8.F.1-5 Functions Review

Front

What does the slope of the equation y=0.5x+10 represent?

Back

The per-mile fee for the moving truck.

Front

How can you determine if a table represents a linear relationship?

Back

Check if the rate of change is constant.

Front

What is the equation for the total cost C to rent a paddle boat for h hours if the rental fee is $15 plus $2 per hour?

Back

C = 2h + 15

Front

What is the rate of change in the relationship represented by the equation y = (3/2)x + b?

Back

3/2

Front

What does a linear relationship look like on a graph?

Back

A straight line.

Front

What is the definition of a function?

Back

A relation where each input has exactly one output.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change; nonlinear functions do not.

Front

If a function is represented by a table, how can you tell if it is linear?

Back

Calculate the differences between y-values for equal differences in x-values; they should be constant.

Front

What is the meaning of the y-intercept in a linear equation?

Back

The value of y when x is 0.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).