2. Graphs of Equations

Let ƒ(x)=-3x+4 and g(x)=-x²+4x+1. Find each of the following. Simplify if necessary. See Example 6. ƒ(3t-2)

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. f(x) = |x+3|/|x + 3| b. f(-5)

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

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 $g\left(x\right)=\text{√}x$ has domain ________.

Plot the given point in a rectangular coordinate system. (- 4, 0)

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, 3

y = x² - 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, 3

y = 9 - x²

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