Question

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2^−x and y = 8^x+4 intersect are the solutions of the equation 2^−x = 8^x+4.

Part B: Make tables to find the solution to 2^−x = 8^x+4. Take the integer values of x between −3 and 3.

Part C: How can you solve the equation 2^−x = 8^x+4 graphically?

Answer 1

See explanation

Explanation:

A) the x-intercept is the solution because there are only x's in the equation when they are set equal to each other.

B) (-3, 8), (-3, 4)

(-2, 4), (-2, 4)***** this is the solution

(-1, 2), (-1, 4 1/8)

(0, 1), (0, 5)

(1, 1/2), (1, 12)

(2, 1/4), (2, 68)

(3, 1/8), (3, 516)

C) Graph them and show the intersection

See Attachment