Question

Which function is decreasing and approaches negative infinity as x increases? A. F(x) = 3(6)x ? 2 B. F(x) = -3(0.6)x + 1 C. F(x) = -3(6)x + 2 D. F(x) = 3(0.6)x ? 1

Answer 1

Step-by-step explanation:

correct is b

Answer 2

Option C is correct.

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

Step-by-step explanation:

The exponential function is of the form:

`f(x) = ab^x` where a is constant and b is the base.

*If base b>1

(i) For positive value of a.

If x increases then, f(x) tends to positive infinity.

(ii)For negative value of a.

if x increases, then f(x) tends to negative infinity.

*if 0<b<1 ,

(i)For positive value of a.

If x increases then, f(x) tends to 0.

(ii)For negative value of a.

if x increases, then f(x) tends to 0.

Then from the given options

The only function
`f(x)=-3(6)^(x+2)` ; where a = -3 <0 and b=6>1 is decreasing and approaches negative infinity as x increases .