Question

Determine which of the following graphs represent the equation below. Also determine the y-intercept of the graph.

y = 5 (2 Superscript x Baseline)
a.
On a coordinate plane, a curve approaches the x-axis in quadrant 2, and then increases through (0, 1) and approaches x = 1 in quadrant 1.
y-intercept = 1
c.
On a coordinate plane, a curve approaches the x-axis in quadrant 2, and then increases through (0, 2) and approaches x = 1 in quadrant 1.
y-intercept = 1
b.
On a coordinate plane, a curve approaches the x-axis in quadrant 2, and then increases through (0, 1) and (2, 4) in quadrant 1.
y-intercept = 2
d.
On a coordinate plane, a curve approaches the x-axis in quadrant 2, and then increases through (0, 5) through quadrant 1.

Answer 1

Answer: The equation y = 5 * 2^x represents an exponential function where the base is 2 and the y-intercept is 5.

The graph that best fits this equation is:

d. On a coordinate plane, a curve approaches the x-axis in quadrant 2, and then increases through (0, 5) through quadrant 1.

y-intercept = 5

So, the correct answer is d.

Explanation: