106k views
1 vote
If h(x) = ln(x + p), where p > 0, what is the effect of increasing p on

(a) the y-intercept?
- It increases.
- It decreases.
- It does not change.
(b) the x-intercept?
- It moves to the right.
- It does not change.
- It moves to the left.

1 Answer

7 votes

a) y intercept increases.

b) x intercept moves to the left.

Explanation:

a) y intercept means y value when x = 0

We have h(x) = ln(x + p)

y = ln(x + p)

Substituting

y = ln(0 + p) = ln p

As p increases y intercept also increases.

y intercept increases.

b) x intercept means x value when y = 0

We have h(x) = ln(x + p)

y = ln(x + p)

Substituting

0 = ln(x + p)

x + p = e⁰

x = 1 - p

As p increases x intercept decreases.

x intercept moves to the left.

User Eduardo Bergel
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories