Question

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4^–x and y = 2^x+3 intersect are the solutions of the equation 4^–x = 2^x+3. (4 points)
Part B: Make tables to find the solution to 4^–x = 2^x+3. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 4^–x = 2^x+3 graphically? (2 points)

Answer 1

art A: Explain why the x-coordinates of the points where the graphs of the equations y = 4^–x and y = 2^x+3 intersect are the solutions of the equation 4^–x = 2^x+3. (4 points)

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

Part C: How can you solve the equation 4^–x = 2^x+3 graphically? (2 points)