0. Review of College Algebra

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 5 and 6.

center (-2, 5), radius 4

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 5 and 6.

center (5, -4), radius 7

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 5 and 6. center (√2, √2), radius √2

Connecting Graphs with Equations Use each graph to determine an equation of the circle in center-radius form.

CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. The distance on a number line from a number to 0 is the _________ of the number.

Sea level refers to the surface of the ocean. The depth of a body of water can be expressed as a negative number, representing average depth in feet below sea level. The altitude of a mountain can be expressed as a positive number, indicating its height in feet above sea level. The table gives selected depths and altitudes. List the bodies of water in order, deepest to shallowest.

Rewrite each statement with > so that it uses < instead. Rewrite each statement with < so that it uses >. -9 < 4

Concept Check Plot each point, and then plot the points that are symmetric to the given point with point with respect to the (a) x-axis (5, -3)

Concept Check Plot each point, and then plot the points that are symmetric to the given point with point with respect to the (b) y-axis (5, -3)

Concept Check Plot each point, and then plot the points that are symmetric to the given point with point with respect to the (c) origin. (5, -3)

Concept Check Plot each point, and then plot the points that are symmetric to the given point with point with respect to the (a) x-axis (-4, -2)

Concept Check Plot each point, and then plot the points that are symmetric to the given point with point with respect to the (b) y-axis. (-4, -2)

Concept Check Plot each point, and then plot the points that are symmetric to the given point with point with respect to the (c) origin. (-4, -2)

Determine whether each function is even, odd, or neither. See Example 5. ƒ(x) = -x³ + 2x

Determine whether each function is even, odd, or neither. See Example 5. ƒ(x) = 0.5x⁴ - 2x² + 6