Answer:
D is correct. x>2 the growth rate of the exponential function exceed the growth rate of the linear function.
Step-by-step explanation:
We are given a linear function and an exponential function in graph.
We need to find interval when growth rate of the exponential function exceed the growth rate of the linear function.
Option A) When x<1
Growth rate of linear function = 2
Growth rate of Exponential function = 0.75
When x<1 , growth rate of exponential function is less than linear function.
Option B) When 0≤x≤1
Growth rate of linear function = 2
Growth rate of Exponential function = 1
When 0≤x≤1 , growth rate of exponential function is less than linear function.
Option C) When 1≤x≤2
Growth rate of linear function = 2
Growth rate of Exponential function = 2
When 1≤x≤2 , growth rate of exponential function is equal to linear function.
Option D) When x>2
Growth rate of linear function = 2
Growth rate of Exponential function = 4
When x>2 , growth rate of exponential function is exceed the growth rate of linear function.
Thus, x>2 the growth rate of the exponential function exceed the growth rate of the linear function.
Answer: D.
Step-by-step explanation: Once you subtract from both sides, in order to solve for y (as the equation needs to be in the slope-intercept form, otherwise known as
), you end up with
, which is the right answer. It is the correct answer because the y-intecept shown in the equation matches what is on the graph, in addition to the fact that the slope is just
.
Vertical asymptotes happen at x=a if the function is undefined at x=a.
This is a rational functions, and rational functions are not defined when the denominator is zero, since you can't divide by zero.
In this case, the denominator is zero if
And thus the function has a vertical asymptote at x= -3/2