Question

WILL PICK BRAINLIEST!!!

Answer 1

C) The graph will increase at a slower rate

D) The y-values will continue to increase as x-increases.

Answer 2

we are given

$f(x)=10(2)^x$

now, we can compare it with

$f(x)=a(b)^x$

we can find b

we get

$b=2$

now, we are given

How would the graph change if the b value in the equation is decreased but remains greater than 1

Let's take

b=1.8

$f(x)=10(1.8)^x$

b=1.6

$f(x)=10(1.6)^x$

b=1.4

$f(x)=10(1.4)^x$

b=1.2

$f(x)=10(1.2)^x$

now, we can draw graph

now, we will verify each options

option-A:

we know that all y-value will begin at y=0

because horizontal asymptote is y=0

so, this is FALSE

option-B:

we can see that

curve is moving upward when b decreases for negative value of x

but it is increasing slowly for negative values of x

so, this is FALSE

option-C:

we can see that

curve is moving upward when b decreases for negative value of x

but it is increasing slowly for negative values of x

so, this is TRUE

option-D:

we know that curves are increasing

so, the value of y will keep increasing as x increases

so, this is TRUE

option-E:

we can see that

curve is moving upward when b decreases for negative value of x

but it is increasing slowly for negative values of x

so, this is FALSE