Question

What is the range of the function f(x) = –2(6x) + 3?

A) (-oo,-2)
B) (-oo,3)
C) [-2,oo)
D) [3,oo

Answer 1

B is the answer to this question.....

Answer 2

The range of the function is (-∞,3)

B is correct.

Explanation:

Given:
`f(x)=-2(6)^x+3`

It is an exponential function which coefficient is negative.

Exponential function:
`f(x)=ab^x+c`

If a>0 then range (c,∞)

If a<0 then range (-∞,c)

`-2(6)^x+3\rightarrow ab^x+c`

`a=-2`

`c=3`

Range: (-∞,3)

Hence, The range of the function is (-∞,3)