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Test 1 Study Guide - College Algebra | MATH 1111, Exams of Algebra

Clayton State UniversityAlgebra
Prof. Billie D. May

Material Type: Exam; Professor: May; Class: College Algebra; Subject: Mathematics; University: Clayton State University; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/04/2009

koofers-user-lsq
koofers-user-lsq 🇺🇸

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MATH 1111 Test 1 Study Guide
The exam is closed book and closed notes. You may use Mathcad or a graphing
calculator. Report all answers as exact values unless otherwise stated. Show all work for
credit.
1) Use the graph of the function g to answer the questions:
Part I: Find g(1.5)
Part II: Find all zeros
Part III: On what interval(s) is g increasing? Decreasing?
Part IV: What are the domain & range of the function?
Part V: What are the relative max & min of the function?
2) Use the equation y = 3(x - 2)(x + 2) to answer the questions.
Part I: The graph of the equation has how many x-intercepts?
a) 0 b) 1 c) 2 d) 3
Part II: What is the vertex of the graph of the quadratic?
a) (0, -12) b) (3, -12) c) (0, -4) d) (3, -4)
Part III: Compared to the parent function y = x2, what transformation(s) were made to
produce this quadratic?
a) A vertical stretch of 3 and a vertical translation up 2
b) A vertical stretch of 3 and a vertical translation down 2
c) A vertical stretch of 3 and a vertical translation up 4
d) A vertical stretch of 3 and a vertical translation down 4
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MATH 1111 Test 1 Study Guide The exam is closed book and closed notes. You may use Mathcad or a graphing calculator. Report all answers as exact values unless otherwise stated. Show all work for credit.

  1. Use the graph of the function g to answer the questions: Part I: Find g(1.5) Part II: Find all zeros Part III: On what interval(s) is g increasing? Decreasing? Part IV: What are the domain & range of the function? Part V: What are the relative max & min of the function?
  2. Use the equation y = 3(x - 2)(x + 2) to answer the questions. Part I: The graph of the equation has how many x-intercepts? a) 0 b) 1 c) 2 d) 3 Part II: What is the vertex of the graph of the quadratic? a) (0, -12) b) (3, -12) c) (0, -4) d) (3, -4) Part III: Compared to the parent function y = x^2 , what transformation(s) were made to produce this quadratic? a) A vertical stretch of 3 and a vertical translation up 2 b) A vertical stretch of 3 and a vertical translation down 2 c) A vertical stretch of 3 and a vertical translation up 4 d) A vertical stretch of 3 and a vertical translation down 4
  1. The graph to the right shows the path of a golf ball. What is the range of this function? a) 0 < y < 200 b) 0 ≤ y ≤ 200 c) 0 ≤ x ≤ 7 d) 0 < x < 7
  2. If the graph of f(x) is on the right, which of the following is the graph of – f(x)?
  3. The graph of the parabola 2 yx (^) is on the right. If the parabola 2 y  0.4 x were graphed on the same grid, would it be wider or narrower than the current parabola?
  4. The formula for potential energy is P=mgh , where P is potential energy, m is mass, g is gravity, and h is height. Which expression can be used to represent g? a) Pmh b) Pmh c)

P

h m  d)

P

mh

  1. Which graph represents the equation x = 2? Seconds after ball was hit
  1. Given the equation

yx  Part I: Find an equation of a line that is parallel to the line. Part II: Find an equation of a line that is perpendicular to the line. Part III: Find an equation of a line that is parallel to the line and passes through the point (0,0). Part IV: Find an equation of a line that is perpendicular to the line and passes through the point (0,0). Part V: Find an equation of a line that is not parallel or perpendicular to the line.