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Math Quiz: Distance, Midpoint, Slope, Equations, Domain, Piecewise Functions, Function ID, Quizzes of Algebra

A math quiz consisting of 8 questions. The questions involve finding the distance and midpoint of two points, identifying the slope intercept equation and equations of parallel and perpendicular lines, determining the domain restriction of a function, graphing and finding the value of a piecewise function, and identifying the behavior of a given function. Students are expected to solve these problems using basic algebra and geometry concepts.

Typology: Quizzes

2009/2010

Uploaded on 02/24/2010

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koofers-user-y8r 🇺🇸

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All questions worth 10 points except where noted.
No work = No credit. Open book, open notes.
All work to be completed on this sheet.
1. (20 pts.) For the points a = (–3,1) and b = (5, –9)
a. Find the distance between a and b
b. Find the midpoint of the segment connecting a and b
c. Find the slope intercept equation for the line connecting a and b
d. Find the equation of the line through a and parallel to the line y = x – 5
e. Find the equation of the line through b and perpendicular to the line y = 2x – 5
Math 124
Chapter 1 Quiz
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Download Math Quiz: Distance, Midpoint, Slope, Equations, Domain, Piecewise Functions, Function ID and more Quizzes Algebra in PDF only on Docsity!

All questions worth 10 points except where noted. No work = No credit. Open book, open notes. All work to be completed on this sheet.

  1. (20 pts.) For the points a = (–3,1) and b = (5, –9)

a. Find the distance between a and b

b. Find the midpoint of the segment connecting a and b

c. Find the slope intercept equation for the line connecting a and b

d. Find the equation of the line through a and parallel to the line y = x – 5

e. Find the equation of the line through b and perpendicular to the line y = 2 x – 5

Math 124

Chapter 1 Quiz

Full Name Full Name Full Name Date

  1. Find the domain restriction for the function

f x x x

  1. For the piecewise function

x x f x x x x x

, graph and find f (3)

  1. (20 pts.) For the function pictured below, identify where it is

a. Increasing

b. Decreasing

c. Constant

d. Has a relative maximum

e. Has a relative minimum

  1. Provide the graph for a function that is symmetric with respect to the x axis. (HINT: this may be a trick question, if so indicate why).