JONASNELSONGO
Answered

Select the correct answer.
Consider functions p and q.


p(x)=log2(x-1)
q(x)=2^x-1


Which statement is true about these functions?

A.
The x-intercept of function p is greater than the x-intercept of function q.
B.
The x-intercept of function p is less than the x-intercept of function q.
C.
The x-intercepts cannot be compared because either p or q does not have an x-intercept.
D.
The x-intercept of function p is the same as the x-intercept of function q.

Answer :

JAYUPDATEZ23GO

Answer:

I would say B The x-intercept of function p is less than the x-intercept of function q. tell me if you got it right.

Step-by-step explanation:

The correct answer is option B. The x-intercept of function p is greater than the x-intercept of function q.

What is x-intercept?

The x-intercept is where the curve represented by the equation cuts the x axis. At that point the ordinate should be 0.

How to find the x-intercept of p(x)?

  • To find the x-intercept, we will equate p(x) = 0

[tex]log_{2} (x-1)=0[/tex]

⇒ x= 2

The x-intercept of p(x) is 2

How to calculate the x-intercept of q(x)?

  • To find the x-intercept, we will equate q(x) = 0

2^x-1 = 0

⇒x= 0

The x-intercept of q(x) is 0

So, we can see the  x-intercept of p(x) is greater than x-intercept of q(x)

  • In the graph, the purple line represents q(x) and red line represents p(x)

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