100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
MAT 136 Exam 1 Questions and Answers $15.39   Add to cart

Exam (elaborations)

MAT 136 Exam 1 Questions and Answers

 4 views  0 purchase

Question Show your work and explain how you arrived at your answer. Answers with no relevant explanations do not show an understanding of the topic and may get reduced or no credit. f(g(x)) = sqrt(x^2 + 5) + 6 -Substitute g(x) into f(x) g(f(x)) = (sqrt(x) + 6)^2 + 5 -Solve for (sqrt(x) + 6)^2 ...

[Show more]

Preview 4 out of 31  pages

  • August 9, 2024
  • 31
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
  • mat 136
All documents for this subject (21)
avatar-seller
MasterGrade
12/8/2020
MAT 136 Exam 1 Questions and Answers
Question




Show your work and explain how you arrived at your answer. Answers with no relevant
explanations do not show an understanding of the topic and may get reduced or no credit.


f(g(x)) = sqrt(x^2 + 5) + 6 -Substitute g(x) into f(x)


g(f(x)) = (sqrt(x) + 6)^2 + 5 -Solve for (sqrt(x) + 6)^2


(sqrt(x) + 6)^2 = x + 12sqrt(x) +36 -Insert back to the formula


g(f(x)) = x + 12sqrt(x) +36 + 5 -Simplify
g(f(x)) = x + 12sqrt(x) +41



Keywords:

Partial Grades:


Ungraded Grade: 0/1.0 F 0%




Total grade: 1.0×1/3 + 1.0×1/3 + 0.0×1/3 = 33% + 33% + 0%
Feedback:

Let's begin by substituting g(x) into f(x).



f(g(x)) = √ (x 2 + 5 ) + 6
= √x 2 + 5 + 6
Now we can substitute f(x) into g(x).

,12/8/2020
MAT 136 Exam 1 Questions and Answers
Question




g(f(x)) = (√x + 6 )2 + 5
= x + 12√x + 36 + 5

= x + 12√x + 41




1
The graph of the function f(x) = x + 7 + 13 is a transformation of the graph of the function
1
g(x) = x by


A vertical shift
Your response Correct response
up up




units


A horizontal shift
Your response Correct response
left left

,12/8/2020
MAT 136 Exam 1 Questions and Answers
View Original Response Unfiltered Response
Q2 0/0.0 0%




Auto graded Grade: 1/1.0 A+ 100%


of
Your response Correct response
13 13

Auto graded Grade: 1/1.0 A+ 100%




Auto graded Grade: 1/1.0 A+ 100%

, 12/8/2020 Southern New Hampshire University - Gradebook

Question

of
Your response Correct response
7 7

Auto graded Grade: 1/1.0 A+ 100%


units


Show your work and explain how you arrived at your answer. Answers with no relevant
explanations do not show an understanding of the topic and may get reduced or no credit.


the vertical shift is moving the graph up and down because this transformation involves adding a positive or negative constant
to the function.


In this case, the constant is positive (13) which will move the graph up 13 units.


the horizontal is a shift that moves the graph of the function left to right.


In this case, x+7 -> x= -7. It will move 7 units to the left.

Keywords:

Partial Grades:


Ungraded Grade: 0/1.0 F 0%




Total grade: 1.0×1/5 + 1.0×1/5 + 1.0×1/5 + 1.0×1/5 + 0.0×1/5 = 20% + 20% + 20% + 20% + 0%
Feedback:
1
The graph of the function g(x) = is centered at the origin. The graph of the translated function
x
1
f(x) = x + 7 + 13 is the graph of g(x) shifted up 13 units and left 7 units. The graph of f(x) is
centered at (- 7, + 13) as x can not be equal to - 7 and y can not be equal to + 13.

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller MasterGrade. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $15.39. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

80364 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
$15.39
  • (0)
  Add to cart