Question

Needed help with this part of the homework. Am i headed in the right direction? Having trouble finding the range as well

Answer 1

Given -

Where b>1

To Find -

a. Which is the graph of f(x) = -bˣ

b. Which is the graph of f(x) = b-ˣ

c. For which graph(s) is the range (-∞, 0)

Step-by-Step Explanation -

a. Since b > 1

So, bˣ will be positive

f(x) = -bˣ will be negative.

So,

The correct Option is B.

b. f(x) = b-ˣ

So, b-ˣ will be positive

Also, in -x will tends to 1

So,

The correct Option is A

c. Range of (-∞, 0)

So,

we can observe the value of y tending to -∞ in graphs B and D.

Final Answer -

a. Option B

b. Option A

c. Options B and D