Match each statement with its corresponding value for the system below: y = (2) ^x and y = 3x 1. The y-intercept of the linear function. 0 2.The y-intercept of the exponential function. 1 3.The number of points of intersection. 2 4.The quadrant of the solution(s). 1/2

1. The y-intercept of the linear function.                 0

2.The y-intercept of the exponential function.       1

3.The number of points of intersection.                 2

4.The quadrant of the solution(s).                            1

Step-by-step explanation:

The given functions are

Exponential function :

Linear function :

Substitute x=0 in the above functions to find the y-intercepts.

The y-intercept of the exponential function is 1.

The y-intercept of the linear function is 0.

Plot the graph of both functions as shown below.

From the  graph it is clear that both functions intersect each other at 2 points. So, the number of points of intersection is 2.

From the graph it is clear that both intersection points lie in first quadrant. So, the quadrant of the solution(s) is 1.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)