Question

I NEED HELP!! (100 POINTS)

Kian wants to solve the equation 2x = -2x + 4. How could he use graphs to solve this equation?

Drag statements into order to complete an explanation.

Answer 1

Graph the curve that models 2^x.

Graph the line that models -2x+4.

Identify all points of intersection of the two graphs.

Solutions to the equation are the x-coordinates of points of intersection.

Answer 2

• x = 1

Explanation:

Given equation

2^x = -2x + 4

To solve graphically, following steps required

1. Graph the function

• y = 2^x

2. Graph the function

• y = -2x + 4

3. Identify any intersection of the lines

4. Take the x-coordinates of the intersection points and record as solution

See attached, the answer and the solution of the given equation

The solution is

• x = 1