4. Graphing Trigonometric Functions

Graph each function. See Examples 1 and 2.ƒ(x) = -√-x

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

In Exercises 53–60, use a vertical shift to graph one period of the function.y = sin x + 2

Determine whether each function is even, odd, or neither. See Example 5.ƒ(x) = x³ - x + 9

Determine whether each function is even, odd, or neither. See Example 5. 1ƒ(x) = x + —— x⁵

In Exercises 53–60, use a vertical shift to graph one period of the function.y = cos x + 3

Graph each function. See Examples 6–8.ƒ(x) = x² - 1

In Exercises 53–60, use a vertical shift to graph one period of the function.y = −3 sin 2πx + 2