Question

Which values of a and b in the exponential function y = a * b^x would result in the described graph?

a. a = 1, b = 2
b. a = 2, b = 1
c. a = -1, b = 2
d. a = -2, b = 1

Answer 1

For the described graph, the values of a and b in the exponential function y = a * b^x would be a = 1 and b = 2.

Step-by-step explanation:

The exponential function y = a * b^x represents exponential growth or decay depending on the values of a and b.

For the described graph, we need the graph to slope upward to the right, which means b should be greater than 0. Therefore, options a and d can be eliminated since b is not greater than 0 in those options.

To determine the value of a, we need to consider the initial value or y-intercept of the graph. From the given options, only option a has a = 1, which means the graph starts at y = 1. Therefore, the correct values for a and b are a = 1 and b = 2, giving us the exponential function y = 1 * 2^x.