2. Graphs of Equations

Determine the intervals of the domain over which each function is continuous. See Example 1.

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

Graph each equation in Exercises 1–4. Let x= -3, -2. -1, 0, 1, 2 and 3. y = x^2-3

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

In Exercises 6–8, use the graph and determine the x-intercepts if any, and the y-intercepts if any. For each graph, tick marks along the axes represent one unit each.

Fill in the blank(s) to correctly complete each sentence. The function g(x)=√x has domain ________.

In Exercises 1-12, plot the given point in a rectangular coordinate system. (- 4, 0)

In Exercises 1-12, plot the given point in a rectangular coordinate system. (- 5/2, 3/2)

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

Use the vertical line test to identify graphs in which y is a function of x.

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

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

In Exercises 11–26, determine whether each equation defines y as a function of x. y = - √x +4

Determine whether the three points are the vertices of a right triangle. See Example 3. (-6,-4),(0,-2),(-10,8)

Graph each equation in Exercises 13 - 28. Let x = - 3, - 2, - 1, 0, 1, 2, 3y = 9 - x^2