Exponential Functions with Radical Bases

Question 1

⇒ 4

Revolt · Accepted Answer

78924

Question 2

Simplify the function . Then determine the key aspects of the function.

Revolt · Accepted Answer

✔ 1/3; The initial value is .: 1/3; The simplified base is .: 27; The domain is .: all real numbers; The range is .: y > 0

Question 3

Which expression is equivalent to ?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/f88715deb7051bdf6cc2521a8e548120.png

Question 4

Which graph represents the function f (x) = 8 Superscript one-third x ?

Revolt · Accepted Answer

[Image: On a coordinate plane, an exponential function app...]

Question 5

How are the functions [image 1] and [image 2] related?

Revolt · Accepted Answer

The output values of g(x) are the square root of the output values of f(x) for the same value of x.

Question 6

Determine the domain and range of the function .

Revolt · Accepted Answer

{x| all real numbers}; {y| y > 0}

Question 7

Explain why the square root of a number is defined to be equal to that number to the 1/2 power.

Revolt · Accepted Answer

The square root of a number and squaring a number are inverse operations. If we represent the square root of x as x to the power of 'n', then $(\sqrt{x})^2 = (x^n)^2 = x^1$. According to the power of a power rule, $(x^n)^2 = x^{2n}$. Therefore, $2n = 1$, which means $n$ must be $1/2$. Thus, the square root of a number is equal to that number raised to the $1/2$ power.

Exponential Functions with Radical Bases Answers

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