2. Graphs of Equations

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

y = x³ - 1

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

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. y=√(4x+1)

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

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.

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)=-x²+4x+1. Find each of the following. Simplify if necessary. ƒ(0)

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

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. ƒ(x)=x³-x+9

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

Find g(-4)

Graph each function.

$\text{ƒ}\left(x\right)=-\text{√}x-2$

List the quadrant or quadrants satisfying each condition. x³ > 0 and y³ <0