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.

a) y intercept increases. b) x intercept moves to the left.

Step-by-step 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.