Question

Which of the following is the graph of the function y = 10 times 1.08 Superscript x?

a.
On a coordinate plane, a curve approaches the x-axis in quadrant 2, and then increases through (0, 10) to quadrant 1.
c.
On a coordinate plane, a curve approaches the x-axis in quadrant 3, and then decreases through (0, negative 10) to quadrant 4.
b.
On a coordinate plane, a curve approaches the x-axis in quadrant 2, and then increases through (0, 16) to quadrant 1.
d.
On a coordinate plane, a curve approaches the x-axis in quadrant 2, and then increases through (0, 5) to quadrant 1.

Answer 1

a)

Explanation:

The y-intercept is when x = 0.

`a^0=1`, therefore when x = 0, y = 10

So the y-intercept is (0, 10)

The curve approaches the x-axis in quadrant 2, increases, passes through (0, 10) to quadrant 1 (see attached graph)