BackSea 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.
CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. The circle with equation x² + y² = 49 has center with coordinates ________ and radius equal to _______.
Concept Check Graph the points on a coordinate system and identify the quadrant or axis for each point. (0, 5)
Graph each function. See Examples 6–8. ƒ(x) = x² - 1
For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. See Examples 3 and 4.
y = √(x - 3)
Graph the equation by choosing points that satisfy the equation.
For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. See Examples 3 and 4.
y = x²
Graph each function. See Examples 6–8. _ ƒ(x) = 2√x + 1
Graph each function. See Examples 6–8. g(x) = ½ x³ - 4
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(8, 2), Q(3, 5)
Determine whether each function is even, odd, or neither. See Example 5. ƒ(x) = x³ - x + 9
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)