Name: Instructor grading score: /92 points
Math 95 Worksheet 2
Instructions: Please show all your work and use appropriate notation and formatting. You will be
graded not only on your mathematical accuracy but on the work you show to get there. All word problems
equire a complete sentence containing relevant units of measure to answer the question. The main purpose
of worksheet assignments is for you to show me what you understand and how you would present your
easoning so that I can give you feedback on both before you take your exam. You may use any available
academic resources (your notes, your book, your peers, your instructor, tutors, open discussion
oard in D2L etc.) while working on this graded problem set. Please do this assignment by hand using
the space provided on the worksheet and upload your completed worksheet as 1 pdf file (NOT JPEG, Word,
OR a Zip folder) in the assignments tab in D2L by the assignment’s due date. If you don't have a scanner at
home and can't make it to a li
ary or a PCC campus (all of them have free scanners you can use) there are
some great free scan apps you can download for your smartphone such as Adobe Scan. Do your best!
§10.7
1) [4 points each] Solve the following equations by factoring.
a) x2 + 3x = 28 b) 27 p2 −12 = 0
c) 2x2 −17x + 40 = 10 d ) 16 y2 − 40 y + 25 = 0
https:
acrobat.adobe.com/us/en/mobile/scanner-app.html
§11.1
[3pts each]
2) Let XXXXXXXXXX3f x x= + + ,
3
( )
2 5
x
g x
x
=
+
, and XXXXXXXXXX12p x x x= − − . If any function is undefined, state so.
a) Find f (-8) b) Find g(4)
c) Find p(-2) d) Solve p(x) = 0
§11.2
e) State the domain of f using set-builder
notation.
f) State the domain of g using set-
uilder notation.
§11.1
3) [3 pts each] A squi
el is scampering and climbing; jumping from one
anch to another. It’s
height (in feet), h(t), after t seconds is shown in Figure 1.
a) Find and interpret h(15).
) Solve and interpret h(t) = 20.
c) State the domain of h using interval notation.
d) State the range of h using interval notation.
§11.1
4) Eva bought a used car for $10,000. The car’s value decreases at a constant rate each year. After 8 years,
the car is worth $6800.
a) [4 pts] Write a linear function to model the car’s value as the number of years increases. (remember
y=mx+b)
) [3 pts] Find the domain of this function in context.
c) [3 pts] Find the range of this function in context.
§11.4
5) [3 pts each] Let T be the function for which T (x) =-3x2 + 9x -7 . Find and simplify the following.
a) T (4x) b) -T (x)
c) T (x) + 8 d) T (x -1)
**For #6 and #7, you do not need to show work as you will be using technology. The graphs you submit with
each problem will suffice.
§11.3
6) [2 pts each] Let q be a function for which XXXXXXXXXX50q x x x= − XXXXXXXXXXUse graphing technology to determine the
following.
e) State the intercepts of this function. b) What is the vertex?
c) What is the domain in interval notation? d) What is the range in interval notation?
e) Evaluate q(10). f) Solve q(x) =100 .
The solution set is _____
g) Include a copy of the of the graph you created here or put links to your graphs in the comments
section with the intercepts and vertex labeled.
7) [2 pts each] Let a(x) = x2 + 7x - 60 and b(x) =9x XXXXXXXXXXUse graphing technology to answer the
following questions.
f) What are the points of intersection?
g) Solve a(x) = b(x). The solution set is
c) Solve a(x)≤b(x). The interval set is (be careful with parenthesis and
ackets?)
d) Solve a(x)
(x). The interval set is (be careful with parenthesis and
ackets?)
e) Include a copy of the graphs here or links to the graphs in the comment section you
created with the points of intersection labeled.
Name: Instructor grading score: /92 points
Math 95 Worksheet 2
Instructions: Please show all your work and use appropriate notation and formatting. You will be
graded not only on your mathematical accuracy but on the work you show to get there. All word problems
equire a complete sentence containing relevant units of measure to answer the question. The main purpose
of worksheet assignments is for you to show me what you understand and how you would present your
easoning so that I can give you feedback on both before you take your exam. You may use any available
academic resources (your notes, your book, your peers, your instructor, tutors, open discussion
oard in D2L etc.) while working on this graded problem set. Please do this assignment by hand using
the space provided on the worksheet and upload your completed worksheet as 1 pdf file (NOT JPEG, Word,
OR a Zip folder) in the assignments tab in D2L by the assignment’s due date. If you don't have a scanner at
home and can't make it to a li
ary or a PCC campus (all of them have free scanners you can use) there are
some great free scan apps you can download for your smartphone such as Adobe Scan. Do your best!
§10.7
1) [4 points each] Solve the following equations by factoring.
a) x2 + 3x = 28 b) 27 p2 −12 = 0
c) 2x2 −17x + 40 = 10 d ) 16 y2 − 40 y + 25 = 0
https:
acrobat.adobe.com/us/en/mobile/scanner-app.html
§11.1
[3pts each]
2) Let XXXXXXXXXX3f x x= + + ,
3
( )
2 5
x
g x
x
=
+
, and XXXXXXXXXX12p x x x= − − . If any function is undefined, state so.
a) Find f (-8) b) Find g(4)
c) Find p(-2) d) Solve p(x) = 0
§11.2
e) State the domain of f using set-builder
notation.
f) State the domain of g using set-
uilder notation.
§11.1
3) [3 pts each] A squi
el is scampering and climbing; jumping from one
anch to another. It’s
height (in feet), h(t), after t seconds is shown in Figure 1.
a) Find and interpret h(15).
) Solve and interpret h(t) = 20.
c) State the domain of h using interval notation.
d) State the range of h using interval notation.
§11.1
4) Eva bought a used car for $10,000. The car’s value decreases at a constant rate each year. After 8 years,
the car is worth $6800.
a) [4 pts] Write a linear function to model the car’s value as the number of years increases. (remember
y=mx+b)
) [3 pts] Find the domain of this function in context.
c) [3 pts] Find the range of this function in context.
§11.4
5) [3 pts each] Let T be the function for which T (x) =-3x2 + 9x -7 . Find and simplify the following.
a) T (4x) b) -T (x)
c) T (x) + 8 d) T (x -1)
**For #6 and #7, you do not need to show work as you will be using technology. The graphs you submit with
each problem will suffice.
§11.3
6) [2 pts each] Let q be a function for which XXXXXXXXXX50q x x x= − XXXXXXXXXXUse graphing technology to determine the
following.
e) State the intercepts of this function. b) What is the vertex?
c) What is the domain in interval notation? d) What is the range in interval notation?
e) Evaluate q(10). f) Solve q(x) =100 .
The solution set is _____
g) Include a copy of the of the graph you created here or put links to your graphs in the