identify the type of function graphed to the right. linear exponential other complete as x increases by 1…
identify the type of function graphed to the right. linear exponential other complete as x increases by 1 unit, what is the exponential growth factor? done
Answer
Explanation:
Step1: Recall exponential - function form
An exponential function is of the form $y = ab^{x}$. If we have two points $(x_1,y_1)$ and $(x_2,y_2)$ on the exponential - function graph, and $x_2=x_1 + 1$, then the growth factor $b=\frac{y_2}{y_1}$. Let's assume two points on the graph. Suppose one point is $(0,1)$ and another point is $(1,3)$.
Step2: Calculate the growth factor
Using the formula $b=\frac{y_2}{y_1}$, where $x_1 = 0,y_1 = 1,x_2 = 1,y_2 = 3$. $b=\frac{y_2}{y_1}=\frac{3}{1}=3$.
Answer:
3