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

Option C is correct.

Explanation:

The exponential function is of the form:

 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 ; where a = -3 <0 and b=6>1 is decreasing and approaches negative infinity as x increases .

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