2. Graphs of Equations

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify.f(x)=4x+5b. f(x + 1)

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

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify.g(x) = x² + 2x + 3a. g(-1)

In Exercises 41–46, use the graph to a. determine the x-intercepts, if any; b. determine the y-intercepts, if any. For each graph, tick marks along the axes represent one unit each.

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=√(4x+1)

In Exercises 41–46, use the graph to a. determine the x-intercepts, if any; b. determine the y-intercepts, if any. For each graph, tick marks along the axes represent one unit each.

In Exercises 39–50, graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x, starting with -2 and ending with 2. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f(x)= |x|, g(x) = |x| +1

In Exercises 47–50, write each English sentence as an equation in two variables. Then graph the equation.The y-value is three decreased by the square of the x-value.

In Exercises 47–50, write each English sentence as an equation in two variables. Then graph the equation.y = 5 (Let x = -3, - 2, - 1, 0, 1, 2, and 3.)

Let ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. ƒ(0)

Graph each function. Give the domain and range. See Example 3. ƒ(x)=[[2x]]

In Exercises 55–64, use the vertical line test to identify graphs in which y is a function of x.

Determine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^3-x+9

Use the graph of g to solve Exercises 71–76.

Find g(-4)

Graph each function. ƒ(x) = -√x - 2