Categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay. A. linear decreasing B. exponential growth C. exponential decay D. linear increasing

Categorize the graph as linear increasing linear decreasing exponential growth or exponential decay A linear decreasing B exponential growth C exponential decay class=

Respuesta :

Answer:

B

Step-by-step explanation:

it is exponential growth because the graph isn't linear and it the rate of change increases, so the only possible answer is b.

Given graph is representing the graph of exponential growth.

What is graph?

" Graph is defined as the representation of relation between variables on the coordinates plane along x-axis and y-axis."

According to the question,

As per the given graph,

A. Linear decreasing : It is not a graph of linear decreasing function as it is not representing a straight line which intersect y-axis at (0, k) and x-axis at (h,0).

B. Exponential growth: For exponential growth [tex]y = ab^{x}[/tex] a>0 , b>1.

This graph representing the condition for exponential growth.

C. Exponential decay :  For exponential decay [tex]y = ab^{x}[/tex] a >0 , 0 < b < 1.

Therefore , it is not a graph of exponential decay.

D. Linear increasing : It is not a graph of linear increasing function as it is representing a straight line which starts from (0,0) and increasing towards the first quadrant.

Hence, given graph is representing the graph of exponential growth.

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