what type of graph is shown, and what is the growth factor?\nlinear function; growth factor of 2\nlinear…

Answer:

C. exponential function; growth factor of 2

Explanation:

Step1: Identify graph type

The graph is curved, not a straight - line. So it is not a linear function. It is an exponential function.

Step2: Find growth factor

Let's assume the exponential function is of the form $y = a\cdot b^{x}$. If we take two points, say $(0, 2)$ and $(1, 4)$. Substituting into $y=a\cdot b^{x}$, when $x = 0,y=a\cdot b^{0}=a$, so $a = 2$. When $x = 1,y=a\cdot b^{1}$, and since $y = 4,a = 2$, then $4=2\cdot b$, so $b = 2$. The growth factor of an exponential function $y=a\cdot b^{x}$ is $b$, which is 2.