Question

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.

Answer 1

Answer:

C) The ordered pair that contains a solution to the equation lies in Quadrant I.

D) The solution to the equation is x = 2

Step-by-step explanation:

we have

$f(x)= 2^x + 1$

$g(x)= 5$

$f(x)=g(x)$

we know that

The solution is the x-coordinate of the intersection point both graphs

using a graphing tool

The intersection point is $(2,5)$

therefore

The solution is $x=2$

see the attached figure

Verify each statement

case A) The ordered pair that contains the solution to the equation lies in Quadrant II

The statement is False

The ordered pair that contains the solution to the equation lies in the first quadrant

case B)There are 2 solutions to the equation

The statement is False

The equation has only one solution

case 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 = 2

The statement is True  (see the procedure)

case E) The ordered pairs that contain the solutions to the equation lie in Quadrant I and II

The statement is False

The ordered pair that contain the solution to the equation lie in Quadrant I