Which exponential function has an x-intercept?
a. f(x) = 100x−5 − 1
b. f(x) = 3x−4 + 2
c. f(x) = 7x−1 + 1
d. f(x) = -8x+1 − 3

Option A - x-intercept is at (5,0)

Step-by-step explanation:

Given : Exponential Functions

To find : Which exponential function has an x-intercept?

Solution :

x-intercept is the value at which the value of y=0.

To find the x-intercept we have to substitute y=0 or f(x)=0           

A.      

x-intercept at f(x)=0    

Taking log both side,

Therefore, the x-intercept of the given function is (5,0).

B.      

x-intercept at f(x)=0    

Taking log both side,

Since, log (-2) is not defined.

Therefore, the x-intercept of the given function is none.

C.      

x-intercept at f(x)=0    

Taking log both side,

Since, log (-1) is not defined.

Therefore, the x-intercept of the given function is none.

D.      

x-intercept at f(x)=0    

Taking log both side,

Since, log (-8) is not defined.

Therefore, the x-intercept of the given function is none.

Hence, Option A has only x-intercept.

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step-by-step explanation: