A function g models a relationship in which the dependent variable doubles for every 3 units the independent variable increases.

x-intercept = 3

y-intercept = -2

Step-by-step explanation:

P.S - The exact question is -

Given - A function g models a relationship in which the dependent variable doubles for every 3 units the independent variable increases.

To find - Graph g when g(0) = -2. Identify the y-intercept and x-intercept.

Proof -

By using the given information , we get

g(x) =

g(0) = 0 - 2 = -2

It also satisfy the condition g(0) = -2

Here,

by comparing with general form of slope-intercept form y = mx + c

where m = slope, c = y-intercept

Slope, m =

For x-intercept,

Put y = 0

⇒ = 0

⇒

⇒x = 3

So,

x-intercept = 3

For y-intercept,

Put x = 0

⇒y = 0 - 2

⇒y = 2

∴

y-intercept = -2

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°