Use graphing to solve each equation. See Example.ExampleEXAMPLE Solve 2x + 4 = −2 graphica...

Use graphing to solve each equation. See Example.

Example

EXAMPLE Solve 2x + 4 = −2 graphically.

Strategy We will graph y = the left side of the equation and y = the right side of the equation.

WHY To solve 2x + 4 = −2 graphically, we need to find the value of the x-coordinate at the point where the two graphs intersect.

Graph: g(x) = −x3

Solution

The graphs of y = 2x + 4 and y = − 2 are shown in the figure. To solve the equation 2x + 4 = −2, we need to find the value of x that makes 2x + 4 equal −2. The point of intersection of the graphs is (−3, −2). This tells us that if x = −3, the expression 2x + 4 equals −2. So the solution of 2x + 4 = −2 is x = −3.

4(x − 1) = 3x