2. Graphs of Equations

In Exercises 11–26, determine whether each equation defines y as a function of x. x + y = 16

In Exercises 1-12, plot the given point in a rectangular coordinate system. (7/2, - 3/2)

Determine whether each relation defines a function. See Example 1. {(-3,1),(4,1),(-2,7)}

Graph each equation in Exercises 13 - 28. Let x = - 3, - 2, - 1, 0, 1, 2, 3y = x - 2

For each piecewise-defined function, find (a) ƒ(-5), (b) ƒ(-1), (c) ƒ(0), and (d) ƒ(3).See Example 2. ƒ(x)={2+x if x<-4, -x if -4≤x≤2, 3x if x>2

For each graph, determine whether y is a function of x. Give the domain and range of each relation.

Graph each piecewise-defined function. See Example 2. ƒ(x)={6-x if x≤3, 3 if x>3

Determine whether each relation defines a function, and give the domain and range. See Examples 1–4.

Graph each equation in Exercises 13 - 28. Let x = - 3, - 2, - 1, 0, 1, 2, 3y = |x| + 1

Determine whether each equation defines y as a function of x. y = 6 -x^2

In Exercises 11–26, determine whether each equation defines y as a function of x. |x|- y = 5

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. h(x) = x^4 - x²+1b. h (-1)

In Exercises 31–32, the domain of each piecewise function is (-∞, ∞)(a) Graph each function.(b) Use the graph to determine the function's range.

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. h(x) = x^4 - x²+1c. h (-x)

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. f(r) = √(r + 6) +3a. f(-6)