(q8) the graph of an exponential function is given. which of the following is the correct equation of the function? (picture provided)

b.

Step-by-step explanation:

Remember that the standard exponential function is

where

is the coefficient

is the base

If , the function is growing

If the graph is decaying

We can infer from the graph that the function is growing, so we can discard and .

Now, to evaluate our tow remaining equations, we are using the test values and :

For

For

For

The graph passes through the points (0,1) and (1, 1.8)

For

The graph passes through the points (0,1) and (1, 3.9)

We can see in the graph when , is almost 4, so we can conclude that the correct equation is

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

c) yes, because of asa or aas