Linear Functions Review

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Back

Front

How can you determine if a function is linear or nonlinear?

Back

A function is linear if it can be represented by a straight line on a graph, meaning it has a constant rate of change.

Front

What does the term 'average rate of change' refer to in a linear function?

Back

It refers to the change in the output value (y) divided by the change in the input value (x) over a specific interval.

Front

Evaluate the function f(x) = -2x + 13 for f(10).

Back

f(10) = -7.

Front

What is the general form of a linear function?

Back

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal and there is no change in y as x changes.

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Back

The y-intercept is 5.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.