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5 votes
The range of the function given below is the set of all positive real numbers greater than 5

f(x)=5+4^x
true or false?

2 Answers

4 votes

Answer:

True

Explanation:

just did it

User Akshat Mahajan
by
7.7k points
0 votes

Answer:

True -
R=(5,\infty) , y|y>5

Explanation:

Given : The range of the function given below is the set of all positive real numbers greater than 5 ,
f(x)=5+4^x

To find : The given statement is true or false?

Solution :

Domain of the function is where the function is defined

The given function
f(x)=5+4^x is an exponential function

So, the domain of the function is,


D=(-\infty,\infty) , x|x\in \mathbb{R}

i.e, The set of all real numbers.

Range is the set of value that corresponds to the domain.

Let
y=5+4^x

If
x\rightarrow \infty , y\rightarrow 5

If
x\rightarrow -\infty , y\rightarrow \infty

So, The range of the function is


R=(5,\infty) , y|y>5

Therefore, The given statement is true.

User Gaurang Jadia
by
7.5k points

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