Question

Which graph represents an exponential growth function?

Answer 1

An exponential growth function is represented by a graph with a positive slope that becomes steeper as x increases.

Step-by-step explanation:

Exponential growth is characterized by a rapid increase in quantity over time. An exponential growth function follows the form y = ab^x, where a is the initial quantity, b is the base of the exponential function, and x is the time. The graph of an exponential growth function will have a positive slope that becomes steeper as x increases.

For example, let's compare the functions y = 2^x and y = 3^x. In both cases, the initial quantity (a) is 1. If we plot the values of these functions for different values of x, we will see that the graph of y = 3^x grows faster than the graph of y = 2^x. This indicates that the graph of y = 3^x represents exponential growth.

Therefore, the graph that represents exponential growth function is the one with a positive slope that becomes steeper as x increases.

Answer 2

Graph 1 or A

Step-by-step explanation:

The graph is gradually getting bigger as it starts at the left (0,-10) and gets bigger and bigger until it hits the end of the chart, increasing endlessly. That is exponential growth.