What restrictions are there on the range of the function H(w) below

2 answers:

5 0

The x-axis serves as a horizontal asymptote for all exponential functions. Exponential functions are of the form f(x) = ax . The domain consists of all real numbers. However, the range only consists of all numbers greater than zero. This is because no matter how large x gets, the graph will shoot upwards towards infinity. If x becomes a negative, we know that we will get f(x) = 1/a2 . The larger the negative number, the closer the function approaches zero. So, for exponential functions we will always have that restriction that the range will only include positive numbers. I hope this answers your question. I believe the statement is true.

olga_2 [115]3 years ago

4 0

Answer:

Apex: H(w) > 0

Step-by-step explanation:

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Does anyone know how to do this? I’m lost

Nataly [62]

Answer: B

Step-by-step explanation:

To find the inverse function, you switch x with y and y with x. Then, you solve for y.

$y=(x-1)^{2} -4$ [switch x with y, and y with x]

$x=(y-1)^2-4$ [add both sides by 4]

$x+4=(y-1)^2$ [square root both sides]

$\sqrt{x+4} =y-1$ [add both sides by 1]

$\sqrt{x+4} +1=y$

$f^-^1(x)=1+\sqrt{x+4}$

Now that we know the inverse function, we can actually tell that the answer is B. We know this because of the restriction that f(x) is x≤1. This makes it positive, and B the answer.

7 0

3 years ago

Please helpp me!!<br> (zoom in to see more clear)<br> please explain your reasoning!!!

Citrus2011 [14]

Answer:

Neither because reason is incorrect answer of Vicente is wrong and reason of Zwena is wrong.Though her answer is correct her reason is incorrect.

Step-by-step explanation:

expression 9x-2x+4x is done as

9x-2x+4x

9x+4x-2x

13x-2x

11x