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**each gym charges $75 per month**

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parent function and composition transformation

parent function and composition transformation

1.
Consider the following transformations on parent function f(x) =sqr root X
y = A(x) which shifts 3 units left;
y = B(x) which shifts the graph down by 2 units
y = C(x) which reflects a graph over the x-axis
y= D(x) which stretches the function
vertically by a factor of 5
A. For each transformation above, write
as a function of x.
B. For each of the following six
compositions, on graph paper, sketch/label the parent, and then on the same
pair of axes, sketch/label each intermediate function, with its equation, as
well as the final composition.
(i) A then B then C;
(ii) C then B then C ; (iii) D then C then D;
(iv) B
then D then B; (v) D then B then D; (vi) B then C then B

parent function with Inverse function

parent function with Inverse function

1. Now consider the parent function P(x) = x2, and let g(x) = 4(x-1)2 + 8.(A) Explain step-by-step, graphing/labeling (on graph paper!) the parent, each intermediate function, if we do transformations in these two orders: (You will have to figure out the exact transformations in each case.) (i)Horizontal shift then vertical stretch then vertical shift; (ii)Horizontal shift then vertical shift then vertical stretch.(B) (i) Explain how you can cut the domain of our g(x) so that at least part of it has an inverse function (I.e. passes the horizontal line test). (ii) Now find the equation of the INVERSE function of our g(x).

Algebra - One-Variable Compound Inequalities Discussion

Algebra - One-Variable Compound Inequalities Discussion

In this discussion, you will be
demonstrating your understanding of compound inequalities and the effect that
dividing by a negative has on an inequality. Read the following instructions in
order and view the example (Attached) to complete this discussion: MAT222.W1.DiscussionExample.pdf
According to the first letter of your last name, problem is circled in attached documentWeek 2 discussion 001.jpg
Solve the compound inequalities as demonstrated in Elementary
and Intermediate Algebra and the Instructor Guidance in the left
navigation toolbar, being careful of how a negative x-term is handled in
the solving process. Show all math work arriving at the solutions.
Show the solution sets written algebraically and as a
union or intersection of intervals. Describe in words what the solution
sets mean, and then display a simple line graph for each solution set as
demonstrated in the Instructor Guidance in the left navigation toolbar.
Incorporate the following five math vocabulary words
into your discussion. Use bold font to emphasize the words in your
writing (Do not write definitions for the words; use them appropriately
in sentences describing your math work.):
Compound inequalities
And
Or
Intersection
Union

Algebra - 2-3 pg paper on Two Variable Inequalities

Algebra - 2-3 pg paper on Two Variable Inequalities

Two-Variable
Inequalities
Read the following instructions to complete this assignment:
Solve problem 68 on page 539 of Elementary and
Intermediate Algebra, and make sure to study the given graph. For the
purposes of the assignment, it would be helpful to copy the graph onto
your own scratch paper. Week 2 assignment 001.jpg Write a two- to three-page paper (not including the
title page) that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example (attached) MAT222.W2.AssignmentExample.pdf ,
and be concise in your reasoning. In the body of your essay, do the
following:
Demonstrate your solution to all three portions of the
above problem, making sure to include all mathematical work, and an
explanation for each step.
Use the inequality you create from part (a) of problem
68 to evaluate the following two scenarios:
The Burbank Buy More store is going to make an order
which will include, at most, 60 refrigerators. What is the maximum
number of TVs that could also be delivered on the same 18-wheeler? Be
sure to show all your work and how you came to that conclusion.
The next day, the Burbank Buy More decides they will
have a television sale so they change their order to include at least
200 TVs. What is the maximum number of refrigerators that could also be
delivered in the same truck? Be sure to show your work and how you came
to that conclusion.
Incorporate the following five math vocabulary words
into your discussion. Use bold font to emphasize the words in your
writing (Do not write definitions for the words; use them appropriately in
sentences describing your math work.):
Solid line
Dashed line
Parallel
Linear inequality
Test point

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