Math 141 Review for Midterm

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Melanie Booker
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1 Math 141 Review for Midterm There will be two parts to this test. Part 1 will have graph sketching, and no calculator is allowed. Part will have everthing else, and a calculator and/or graphing calculator are allowed. The following are all the topics that will be on the test. Chapter 1 Solve an equation or inequalit involving absolute values; convert a distance phrase to absolute values (like questions 1-6 on section 1.7) solve rational, radical, and super-quadratic equations (equations like -16 in section 1.8) Chapter Solve and graph linear equations from a stor problem. Compute distance and midpoint between two points Graphing circles Evaluate functions (from a formula or graph) Find the domain and range of a function (from a formula or graph) Graph a piecewise function Use the vertical line test to determine if a graph represents a function Determine if a function is odd, even, or neither Compute average rate of change Combine functions through addition, subtraction, multiplication and division Combine functions through composition (for eample, g f ) Decompose a function (for eample, eercises 73-8 in sections.6) Use transformations to graph a function Eplain a transformation Find a function using inverse and direct variation Chapter 3 Graph a quadratic equation (both a + b + c form and a(-h) + k form) Answer a stor problem involving quadratic equations

2 Sample Questions Warning: this is onl a sample, not a complete list of possible questions. See the review above for the complete list of topics to stud. There are also more sample questions in the review section at the end of chapter one of the tetbook Part 1: No Calculator Allowed 1) Below is a graph of f( ). On the same grid, sketch a graph of f Sketch the graph of the following functions. Indicate the coordinates of ke points, such as intercepts, verte, turning points: a) f ( ) b) f () = -( +1) - 3 (do not worr about showing the intercepts)

3 Part : Calculator Allowed 1) Use absolute value notation to write an equation or inequalit for: All numbers whose distance from is less than 3. ) Solve the equation: 3 4 3) Solve the equation: 4 = 4 4) Solve 4 < 7 ) Given the points (, -) and 6,8, find the distance between them and the midpoint of the line segment joining them. 6) Find the center and the radius of the circle with equation = 3. Sketch the circle. 7) Determine whether the following function is even, odd, or neither: f () = ) If varies inversel as, and 4 when, find the variation constant and the corresponding equation 9) Let f ( ) 4 and g( ) 4 1. Evaluate each of the following: a. f (4) b. f ( a 1) f ( a) c. g f d. g f (also, give the domain) e. What is the rate of change of function f from = 0 to = 3?

4 ) Let f be defined as follows: Sketch the graph of f. 4, if 3 f ( ) 4, if 3 11) Circle an graph below that represents a function (there could be more than one) ) The height (in feet) of a ball that is thrown upwards is given b the function h t t t ( ) Where t is in seconds. What is the maimum height of the ball?

5 Answers to Sample Questions (Part onl) 1) - < 3 ) 6 3) 4) -3 < < 11 ) distance: 33, midpoint: (-, 1.) 6) center: (, -3), radius = 4 7) even 8) constant =, 9) a) 1 b) c) d) ) 41, 4 e) 11) nd graph represents a function 1) feet, (after 1. seconds)

MATH 60 Review Problems for Final Exam

MATH 60 Review Problems for Final Eam Scientific Calculators Onl - Graphing Calculators Not Allowed NO CLASS NOTES PERMITTED Evaluate the epression for the given values. m 1) m + 3 for m = 3 2) m 2 - n2