Posted: June 6th, 2024

Trident Math150 module 3 case Assignment 2016

MAT150 Case 3Assignment and Template

I affirm that this assignment contains
all original work. I am familiar with Trident University’s Academic Integrity
policy located in the Trident.trident.edu/catalog-handbook">Policy Handbook.
I affirm that I have not engaged in direct duplication, copy/pasting, sharing
assignments, collaboration with others, contract cheating and/or obtaining
answers online, paraphrasing, or submitting/facilitating the submission of
prior work. Work found to be unoriginal and in violation of this policy is
subject to consequences such as a failing grade on the assignment, a failing
grade in the course, and/or elevated academic sanctions. My name below affirms
that the assignment was completed individually, and all work presented is my
own.

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Name: Melvin Young
Date: 03/04/2016
Instructor: Art
Bellen

Use this template to insert your
answers for the assignment. Please use
one of thefour methods for showing your work (EE,Math Type,ALT keys, or neatly typed). Remember that your work should be clear and
legible.

Problems
need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest
terms where possible.

1. Is the following relation a function? Why or why not?
{(0, 1); (2, 6); (3, 4); (6, 1)}

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Calculations:

Since the first element is the
ordered pair (.png">coordinate) is not repeated. The relation is a function.

Answer: ­­­­_______Yes________

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2. Is the following relation a function? Why or why not?
{(2, 3); (3, 3); (2, 4); (9, 4)}

Calculations:

Since the first element is the
ordered pair (.png">coordinate) 2 is repeated in (2,3) and (2,4). The relation is
not a function.

Answer: ­­­­_____No__________

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3. Given the function f(x) = 2x-3, find three
ordered pairs on the line.
Calculations:

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.png">

Answer: ­­­­___.png">____________

4. When f(x) = x2+2x-5, find f(-3),
f(0), and f(4).
Calculations:

.png">

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Answer: ­­­­__ .png">_and _ .png">___________

5. Rewrite the equation 5x – 7y = 15 as a
function of x.
Calculations:
.png">

Answer: ­­­­__.png">_____________

In
each of the following graphs, the bolded line represents a mathematical
relationship between x and y. Use the
vertical line test to determine whether the relationship is a function. Explain the reason for your conclusion.

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6.
.jpg">

7.
.jpg">

.jpg">
8.

9..jpg">

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6)
If we draw vertical line anywhere on the curve, it will intersect the curve at
only one point, hence the graph is function
7)
If we draw vertical line anywhere on the curve , it will intersect at only one
point, hence the graph is function
8)
If we draw vertical line at.png"> , it will
intersect at two points; hence the graph is not a function.
9)
If we draw vertical line at.png"> , it will
intersect at two points; hence the graph is not a function.(clearly graph
intersects y-axis at two points)

6.Answer: ­­­­__Yes_____________
7.Answer: ­­­­____Yes___________
8.Answer: ­­­­___No____________
9.Answer: ­­­­____No___________

The
graph on the right represents the function.png">.
10.
What are the roots of the parabola?
Answer: ­­­­___.png">____________
11. What is the domain of the function?
Answer: ­­­­.png">_______________
12. What is the range of the function?
Answer: ­­­­__.png">_____________

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9)
To find the roots, set.png">and solve for .png">as
.png">
10)
Since
.png">is defined for all values of .png">, the domain is all real numbers or in interval notation .png">

11)
The vertex of the parabola is at.png">, hence the range is all real values greater than or equals
to .png">

Evaluate
the composite functions.

13. If f(x) = x+2 and g(x) = 3x+1, then find (f ·
g)(2).
Calculations:

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.png">

Answer: ­­­­___.png">____________

14. If f(x) = 2x-3 and g(x) = x+3, then find (g ·
f)(5).
Calculations:

.png">

Answer: ­­­­____.png">___________

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15. If f(x) = -5x+7 and g(x) = 3x-5, then find
(f-g)(4).
Calculations:

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Answer: ­­­­____.png">___________

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