Question 1

The following properties of exponential functions are true EXCEPT:

Accepted Answer

The horizontal asymptote of b^x is the line x = 0.

Answer

The domain is the set of all real numbers.

Answer

The function is increasing if b>1.

Answer

It is a one-to-one function if it satisfies the Horizontal Line Test.

Question 2

What is the x-intercept of $f\left(x\right)=5^x$ ?

Accepted Answer

There is no x –intercept.

Answer

Answer

Answer

Question 3

What is the horizontal asymptote of the function $f\left(x\right)=5^x$ ?

Accepted Answer

Answer

Answer

Answer

Question 4

Which of the following is NOT TRUE on the two functions $f\left(x\right)=5^x$ and $g\left(x\right)=2^x-3$ ?

Accepted Answer

The horizontal asymptotes are y = -2 and y = 3.

Answer

The domain of the two functions is the set of all real numbers.

Answer

The range of $f\left(x\right)=5^x$ is all $g\left(x\right)=2^x-3$ and the range of $f\left(x\right)=2^x+2$ is all $y>-3$ .

Answer

The y-intercepts are 3 and -2.

Question 5

Which of the following is NOT TRUE on the function $f\left(x\right)=5^x$ and $g\left(x\right)=2^x-3$ .

Accepted Answer

Horizontal Asymptote are y = 5 and y = 6.

Answer

y-intercept is 1. There is no x-intercept.

Answer

Range: Set of all positive real numbers.

Answer

Domain: Set of all real numbers.

Question 6

Determine the domain and range, y-intercept, and horizontal asymptotes of the following functions.

Accepted Answer

sorting:// $f\left(x\right)=5^x$ |#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/3c42f743de6b163712cae19616c4c9e5eaa44fa0.png,#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/357fe43891d418b3a36fc678b17a199b05c274e4.png,#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/0ba8dff215d727cdb40fbcb34d1027d2873ea9c7.png,#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/ada848d9625699617ea2492fecca1e3688073713.png,#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/2997cd115738bb31d8ad16fd2facae0f5718aea0.png: $g\left(x\right)=2^x-3$ |#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/bfdff5874abeccbe50cd908e0bd9bc04aecee735.png,#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/3a54fba0259e735c39a2f41db40251d7722ba54f.png,#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/7fb079a73ffa8a630449cd716acfd0eab5f10b63.png,#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/b29ee8e3360c7f2007738c1ef277be7fd8e88111.png,#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/0a9b7902b818ea3864c0acf55f579af369c4102a.png

Question 7

Determine the domain and range, y-intercept, and horizontal asymptotes of the following functions.

Accepted Answer

sorting:// $f\left(x\right)=5^x$ |#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/801ac75cd7ce48a041983fb8efac95dc8b5177fd.png,#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/7206dae0f1b75782f5cb4537c1a1b84058b26aae.png,#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/c204d5beab41cddbe3b493c4deb8de659c99faed.png,#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/344721a6951f57abfa30775d50286f24136e7b01.png,#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/a7e137d3b9c2b4626bf25e9ab2d4ceb2de76dbf8.png: $g\left(x\right)=2^x-3$ |#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/f086f9db96be62cc3e0e8a7cd0907799bce191c4.png,#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/bc371b61b071656a9c712c73907751900c53966c.png,#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/4df916c4b7b4829eb4ed384e7792acda9ca556c2.png,#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/2c3b814479d2fb25e2d35a0e984e02cec618f80f.png,#d5de2b43-e65f-4db5-a1df-fb4778d8b87f/question/619c8e50b06b09ce7490fc0a4560b8cef70189a2.png

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