4.1 Graphing Equations

Front

What is the range of the absolute value function?

Back

The range of the absolute value function is \([-2, \infty)\).

Front

Find the slope of the line that passes through (10, -8) and (1, 12).

Back

The slope of the line is \(-\frac{20}{9}\).

Front

Back

Front

Use the graph to find the value of f(-5).

Back

The value of f(-5) is -1.

Front

Find the slope of the line that passes through the points (2, 3) and (4, 7).

Back

The slope of the line is 2.

Front

What is the definition of slope in a graph?

Back

Slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept is found by setting x = 0 in the equation and solving for y.

Front

What does it mean for a function to be translated vertically?

Back

A vertical translation shifts the graph up or down without changing its shape.

Front

What is the formula for the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope is \(m = \frac{y2 - y1}{x2 - x1}\).

Front

What is the domain of the absolute value function?

Back

The domain of the absolute value function is \((-\infty, \infty)\).