Question

Sue took out a car loan for $30,000 and has been making monthly payments toward the interest and principal. The following graph depicts her loan balance:

Exponential graph starting at point 0, 30,000 and approaching the x axis as it moves left to right.

Identify the domain of the function.

All real numbers
x ≥ 0
0 ≤ x ≤ 30,000
7 ≤ x ≤ 30,000

Answer 1

Your answer would be B!

Explanation:

x ≥ 0

Answer 2

x ≥ 0

Explanation:

It follows the general shape of exponential function.

It starts at y-intercept of 30,000 and moves towards x-axis as it moves to the right, decreasing [since loan balance is decreasing with time].

The graph DOESN'T go to left of x axis and goes towards infinity as it goes right.

The domain is the set of x-values that the function is defined for.

So we see it starts from x = 0 and goes towards infinity

Thus we can say it is x greater than or equal to 0.

WHich is x ≥ 0