Write an equation for the graph below, which represents an exponential function f with base 2 or 3, translated and/or reflected.

Step-by-step explanation:

The model for an exponencial function is:

'c' is the value of the asymptote, so we have c = 3.

To find the value of 'a', let's use the point (0,5):

Now, to find the value of 'b', let's use the point (1, 7):

So our function is:

Let's check if the point (-1, 4) is inside our function:

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

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step-by-step explanation: