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Nezavi [6.7K]
3 years ago
11

Which of the following shows the graphic representation of the exponential function f(x)=3^x

Mathematics
2 answers:
vampirchik [111]3 years ago
7 0

Answer:

Option B is correct.

Step-by-step explanation:

The exponential function is in the form of :

y = ab^x

where, a is the initial value and b is the growth rate.

If b > 1 , then the graph is exponentially growth.

If 0< b< 1, then the graph is exponentially decay.

Given the exponential function:

f(x)=y = 3^x

on comparing with [1] we have;

a =1 and b = 3 > 1

⇒ the function is exponentially growth.

y-intercept:

Substitute x = 0 and solve for y:

then;

y = 3^0 = 1

y-intercept = (0, 1)

or

Initial value = 1

End behavior:

If x \rightarrow \infty, then f(x) \rightarrow \infty

and

If x \rightarrow -\infty, then f(x) \rightarrow 0

Therefore, the option B is correct.

Artyom0805 [142]3 years ago
3 0
I believe the answer is B. 
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