Question

PLEASE HELPP TIMED
From x = 0 to x = 2, which of the following best describes the growth of the two functions below?
FIRST GRPAH IS Y=5X SECOND IS Y=5^X
A Y=5X GROWS GROWS SLOWER THAN Y=5^X
B Y=5X GROWS FASTER THAN Y=5^X
C Y=5^X GROWS AT THE SAME RATE AS Y=5X
D Y=5^X GROWS OVER A DIFFERENT INTERVAL THAN Y=5X

Answer 1

In the interval x = 0 to 2,
the 5^x graph goes from y=1 to y=25
and the 5x graph goes from y=0 to y=20

Thus,
A Y=5X GROWS GROWS SLOWER THAN Y=5^X

Answer 2

Answer:

The correct option is A.

Step-by-step explanation:

The given functions are

$y=5x$

$y=5^x$

The slope of a function is defined as

$m=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

In first function, at x=0

$y=5(0)=0$

At x=2

$y=5(2)=10$

Growth rate of first function is

$m_1=\frac{10-0}{2-0}=5$

Therefore the growth rate of y=5x is 5 from x = 0 to x = 2.

In second function, at x=0

$y=5^(0)=1$

At x=2

$y=5^(2)=25$

Growth rate of first function is

$m_1=\frac{25-1}{2-0}=12$

Therefore the growth rate of y=5^x is 12 from x = 0 to x = 2.

So we can say that y=5x grows slower than y=5^x.

Therefore option A is correct.