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1 month ago

What is the range of the exponential function shown below

Mathematics

2 answers:

Svet_ta [12.7K]1 month ago

6 0

Answer:

The right answer is option C.

Detailed explanation:

Range refers to all potential function output values.

The function given is

$f(x)=9\cdot 2^x$

For an exponential function of the form g(x)=a^x with a>0, the function values g(x) always satisfy g(x)>0.

This implies,

$2^x>0$

Multiply each side of the inequality by 9.

$9\cdot 2^x>9\cdot 0$

$9\cdot 2^x>0$

$f(x)>0$

Since f(x) is always greater than zero, the function’s range is

Range = { y | y>0}

So, option C is the correct choice.

tester [12.3K]1 month ago

3 0

Answer : y>0

f(x) = 9*2^x

This function is exponential in form

$f(x) = 9*2^x$

Substituting positive numbers for x yields positive y values

Substituting negative numbers for x also results in positive y values

Therefore, y remains positive regardless of the value of x.

The range comprises all possible y outputs of the function

Since y is always positive, the range is y > 0

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