Question

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

Answer 1

Answer:

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 : $y=2^x$

Linear function : $y=3x$

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

$y=2^(0)=1$

The y-intercept of the exponential function is 1.

$y=3(0)=0$

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.