2. Graphs of Equations

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

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

y = - (1/2)x + 2

A new car worth \$45,000 is depreciating in value by \$5000 per year. a. Write a formula that models the car's value, y, in dollars, after x years. b. Use the formula from part (a) to determine after how many years the car's value will be \$10,000. c. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system. Then show your solution to part (b) on the graph.

Plot the given point in a rectangular coordinate system. (7/2, - 3/2)

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

For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. y=(1/2)x-2

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

y = -(1/2)x

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.

Fill in the blank to correctly complete each sentence. The x-intercept of the graph of 2x + 5y = 10 is ________.

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. h(x) = x⁴ - x²+1 c. h (-x)

Graph the equation $y-x^2+3=0$ by choosing points that satisfy the equation.

Graph the equation $y=\(\sqrt{x}\)+1$ by choosing points that satisfy the equation. (Hint: Choose positive numbers only)

Plot the given point in a rectangular coordinate system. (1, 4)

For each piecewise-defined function, find (a) ƒ(-5), (b) ƒ(-1), (c) ƒ(0), and (d) ƒ(3).

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