Student: _____________________ Date: _______________________ Time: _______________________
1.
Instructor: Hicham Qasmi Course: MATH-1100-19-Spring-07(Qasmi) Book: Blitzer: Algebra & Trigonometry, 3e ENHANCED
Assignment: Test 4
Graph the given functions, f and g, on one coordinate plane.
Use the graphing tool to graph the functions.
Answer:
2.
Let
and
. Find
Answers:
Page 1 of 15
and
.
Student: _____________________ Date: _______________________ Time: _______________________
3.
Instructor: Hicham Qasmi Course: MATH-1100-19-Spring-07(Qasmi) Book: Blitzer: Algebra & Trigonometry, 3e ENHANCED
Assignment: Test 4
Use the graph to determine the following. a. the function's domain b. the function's range c. the x-intercepts, if any d. the y-intercept , if any e. the function value indicated below.
a. What is the function's domain? (Type your answer in interval notation.) b. What is the function's range? (Type your answer in interval notation.) c. What is the x-intercept(s)? x (Use a comma to separate answers as needed. Type N if there is no x-intercept.) d. What is the y-intercept? y (Type N if there is no y-intercept.) e. Find the value of the function.
Answers:
Page 2 of 15
Student: _____________________ Date: _______________________ Time: _______________________
4.
Instructor: Hicham Qasmi Course: MATH-1100-19-Spring-07(Qasmi) Book: Blitzer: Algebra & Trigonometry, 3e ENHANCED
Assignment: Test 4
Use the graph to determine (a) intervals on which the function is increasing, if any. (b) intervals on which the function is decreasing, if any. (c) intervals on which the function is constant, if any.
(a) The function is increasing on the interval(s) . (Type your answer in interval notation. Use a comma to separate answers as needed. Type N if there is no solution.) (b) The function is decreasing on the interval(s) . (Type your answer in interval notation. Use a comma to separate answers as needed. Type N if there is no solution.) (c) The function is constant on the interval(s) . (Type your answer in interval notation. Use a comma to separate answers as needed. Type N if there is no solution.)
Answers:
Page 3 of 15
Student: _____________________ Date: _______________________ Time: _______________________
5.
Instructor: Hicham Qasmi Course: MATH-1100-19-Spring-07(Qasmi) Book: Blitzer: Algebra & Trigonometry, 3e ENHANCED
Assignment: Test 4
Use the given conditions to write an equation for the line in point-slope form and slope-intercept form. Passing through (
,
) and ( , )
Type the point-slope form of the equation of the line. (Simplify all fractions.) Type the slope-intercept form of the equation of the line. (Simplify all fractions.)
Answers:
Page 4 of 15
Student: _____________________ Date: _______________________ Time: _______________________
6.
Instructor: Hicham Qasmi Course: MATH-1100-19-Spring-07(Qasmi) Book: Blitzer: Algebra & Trigonometry, 3e ENHANCED
Assignment: Test 4
Give the slope and y-intercept of the line whose equation is given. Then identify the graph of the line.
Slope:
(Simplify all fractions.)
y-intercept:
(Simplify all fractions.)
Which graph represents the given equation?
Answers:
Page 5 of 15
Student: _____________________ Date: _______________________ Time: _______________________
7.
Instructor: Hicham Qasmi Course: MATH-1100-19-Spring-07(Qasmi) Book: Blitzer: Algebra & Trigonometry, 3e ENHANCED
Graph the following equation in a rectangular coordinate system.
Graph the line.
Answer:
Page 6 of 15
Assignment: Test 4
Student: _____________________ Date: _______________________ Time: _______________________
8.
Instructor: Hicham Qasmi Course: MATH-1100-19-Spring-07(Qasmi) Book: Blitzer: Algebra & Trigonometry, 3e ENHANCED
Rewrite the given equation in slope-intercept form and then graph the line.
What is the equation in slope-intercept form? (Simplify all fractions.) Use the slope and the y-intercept to graph the line.
Answers:
Page 7 of 15
Assignment: Test 4
Student: _____________________ Date: _______________________ Time: _______________________
9.
Instructor: Hicham Qasmi Course: MATH-1100-19-Spring-07(Qasmi) Book: Blitzer: Algebra & Trigonometry, 3e ENHANCED
Assignment: Test 4
Use the given conditions to write an equation for the line in point-slope form and general form. Passing through
and parallel to the line whose equation is
The equation of the line in point-slope form is . (Use integers or fractions for any numbers in the equation.)
The equation of the line in general form is . (Simplify your answer. Use integers or fractions for any numbers in the equation.)
Answers:
10.
Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function shown below.
Answer:
Page 8 of 15
Student: _____________________ Date: _______________________ Time: _______________________
11.
Use the graph of function
Instructor: Hicham Qasmi Course: MATH-1100-19-Spring-07(Qasmi) Book: Blitzer: Algebra & Trigonometry, 3e ENHANCED
to graph the
Assignment: Test 4
Choose the correct graph of g below.
.
Answer:
Page 9 of 15
Student: _____________________ Date: _______________________ Time: _______________________
Instructor: Hicham Qasmi Course: MATH-1100-19-Spring-07(Qasmi) Book: Blitzer: Algebra & Trigonometry, 3e ENHANCED
Assignment: Test 4
12. Find
,
, fg, and
. Determine the domain for each function.
; (
)(x) =
What is the domain of
(
?
)(x) =
What is the domain of
?
What is the domain of
?
What is the domain of
?
Page 10 of 15
Student: _____________________ Date: _______________________ Time: _______________________
Instructor: Hicham Qasmi Course: MATH-1100-19-Spring-07(Qasmi) Book: Blitzer: Algebra & Trigonometry, 3e ENHANCED
12. (cont.)
Answers:
13.
Use the graphs of f and g to find . =
Answer:
Page 11 of 15
Assignment: Test 4
Student: _____________________ Date: _______________________ Time: _______________________
14.
For a.
Instructor: Hicham Qasmi Course: MATH-1100-19-Spring-07(Qasmi) Book: Blitzer: Algebra & Trigonometry, 3e ENHANCED
and ;
Assignment: Test 4
find
b. the domain of
a. (Simplify your answer.) b. What is the domain of
?
Answers:
15.
Express the given function h as a composition of two functions f and g so that where one of the functions is
Answers:
16. The function Find an equation for
is one-to-one. , the inverse function.
(Type an expression for the inverse. Use integers for any numbers in the expression.) Answer:
Page 12 of 15
Student: _____________________ Date: _______________________ Time: _______________________
17.
Given the function
Instructor: Hicham Qasmi Course: MATH-1100-19-Spring-07(Qasmi) Book: Blitzer: Algebra & Trigonometry, 3e ENHANCED
Assignment: Test 4
,
(a) Find . (b) Graph f and in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range of f and (a) Find
.
.
b) Choose the correct graph which shows f and system.
(c) State the domain and range of f and
graphed in the same coordinate
using interval notation.
Answers:
Page 13 of 15
Student: _____________________ Date: _______________________ Time: _______________________
18.
Instructor: Hicham Qasmi Course: MATH-1100-19-Spring-07(Qasmi) Book: Blitzer: Algebra & Trigonometry, 3e ENHANCED
Assignment: Test 4
Give the center and radius of the circle described by the equation and graph the equation. Use the graph to identify the domain and range.
The center is
. (Type an ordered pair. Simplify your answer.)
The radius is
. (Type an integer or a simplified fraction.)
Choose the correct graph of the circle.
Express the domain of the relation in interval notation.
Express the range of the relation in interval notation.
Answers:
Page 14 of 15
Student: _____________________ Date: _______________________ Time: _______________________
19.
Instructor: Hicham Qasmi Course: MATH-1100-19-Spring-07(Qasmi) Book: Blitzer: Algebra & Trigonometry, 3e ENHANCED
Complete the square and write the equation of the circle in standard form. Then determine the center and radius of the circle to graph the equation.
The equation in standard form is
.
Use the graphing tool to graph the circle.
Answers:
20.
Find the distance between
and
d= (Round the answer to two decimal places, if necessary.) Answer:
Page 15 of 15
Assignment: Test 4
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