Q:

Solve the equation f(x) = g(x) by graphing the functions f(x)= 2^x + 1 and g(x) = 5 on the same set of coordinate axes. Which statements about the solution to the equation are true? Select each correct answer. a. The ordered pair that contains the solution to the equation lies in Quadrant II.b. there are 2 solutions to the equation. c. The ordered pair that contains a solution to the equation lies in Quadrant I. d. The solution to the equation is x = 2. e. The ordered pairs that contain the solutions to the equation lie in Quadrant I and II.

Accepted Solution

A:
Answer:C) The ordered pair that contains a solution to the equation lies in Quadrant I.D) The solution to the equation is x = 2Step-by-step explanation:we have[tex]f(x)= 2^x + 1[/tex][tex]g(x)= 5[/tex][tex]f(x)=g(x)[/tex]we know thatThe solution is the x-coordinate of the intersection point both graphs using a graphing toolThe intersection point is [tex](2,5)[/tex]thereforeThe solution is [tex]x=2[/tex]see the attached figureVerify each statementcase A) The ordered pair that contains the solution to the equation lies in Quadrant IIThe statement is FalseThe ordered pair that contains the solution to the equation lies in the first quadrant case B)There are 2 solutions to the equationThe statement is FalseThe equation has only one solutioncase C) The ordered pair that contains a solution to the equation lies in Quadrant I.The statement is True (see the procedure)case D) The solution to the equation is x = 2The statement is True  (see the procedure)case E) The ordered pairs that contain the solutions to the equation lie in Quadrant I and IIThe statement is FalseThe ordered pair that contain the solution to the equation lie in Quadrant I