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Korolek [52]
3 years ago
13

Consider the graph of the function f(x)=2x.

Mathematics
2 answers:
Elden [556K]3 years ago
7 0

Answer:

A

Step-by-step explanation:

77julia77 [94]3 years ago
3 0

Given:

The parent function is:

f(x)=2^x

The other function is:

g(x)=2f(x)

To find:

The statement that describes a key feature of function g.

Solution:

We have,

f(x)=2^x

g(x)=2f(x)

Using these two functions, we get

g(x)=2(2)^x

Putting x=0, we get

g(x)=2(2)^{(0)}

g(x)=2(1)

g(x)=2

The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.

We know that g(x)\to 0 as x\to -\infty and it will never intersect the line y=0. It means the horizontal asymptote of the function g is

Therefore, the correct option is A.

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