4. Graphing Trigonometric Functions

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

Graph each function. See Examples 6–8.g(x) = (x - 4)²

In Exercises 61–66, use the method of adding y-coordinates to graph each function for 0 ≤ x ≤ 2π.y = 3 cos x + sin x

In Exercises 61–66, use the method of adding y-coordinates to graph each function for 0 ≤ x ≤ 2π.y = cos x + cos 2x

Graph each function. See Examples 6–8.g(x) = |x| - 1

In Exercises 61–66, use the method of adding y-coordinates to graph each function for 0 ≤ x ≤ 2π.y = cos x + sin 2x

Graph each function. See Examples 6–8.h(x) = -(x + 1)³

In Exercises 67–68, use the method of adding y-coordinates to graph each function for 0 ≤ x ≤ 4.y = cos πx + sin π/2 x

Graph each function. See Examples 6–8.h(x) = 2x² - 1

Graph each function. See Examples 6–8.ƒ(x) = 2(x - 2)² - 4

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

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