0. Review of College Algebra

Graph the equation $y=\(\sqrt{x}\)+1$ by choosing points that satisfy the equation. (Hint: Choose positive numbers only)

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)

Which of the following best describes the amplitude of the graph of the function $y=3\cdot \sin \left(x\right)$?

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, 0), radius 6

Concept Check Match each equation in Column I with its graph in Column II. I II 47. A. 48. B. 49. (x + 3)² + (y - 2)² = 25 C. 50. D.

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.

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

For the points P and Q, find (a) the distance d(P, Q) and (b) the coordinates of the midpoint M of line segment PQ. See Examples 1 and 2.

P(-6, -5), Q(6, 10)

Concept Check Answer each question. If a vertical line is drawn through the point (4, 3), at what point will it intersect the x-axis?

Graph each function. See Examples 6–8. ƒ(x) = √x + 2

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

Concept Check Match each equation in Column I with its graph in Column II. I II 47. A. 48. B. 49. C. 50. (x + 3)² + (y + 2)² = 25 D.

Graph each function. See Examples 6–8. ƒ(x) = √-x