Question

(05.03 MC)

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. (4 points)

Part B: Make tables to find the solution to 4x = 2x−2. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 4x = 2x−2 graphically? (2 points)

Answer 1

Explanation:

Given that there are two graphs y =4x and y =2x-2

To find the point of intersection, we must find (x,y) which satisfy both the equations.

FOr such a point then we have y coordinates equal and hence 4x=2x-2

Part B:

x 4x 2x-2

-3 -12 -8

-2 -8 -6

-1 -4 -4

0 0 -2

1 4 0

2 8 2

3 12 4

Thus we find that x=-1 is the solution

Part C