MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Transcription

1 MAC 1 Module Test 1 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. State whether the graph is or is not that of a function. 1) A) Yes B) No Answer: A Objective: (1.1) Determine If Graph Represents Function (Y/N) Determine whether or not the relationship shown in the table is a function. ) Does the table define as a function of? A) Yes B) No Answer: A Objective: (1.1) Determine If Table Defines Function (Y/N) 3) This chart shows the fees for an 1-hole round of golf for each of the last ears at a local municipal golf course. Assume that this chart defines a function with the name of f. Find the value of when f() = $3. Year Fee 199 $ 199 $ $ 199 $ 1999 $30 A) 1997 B) 199 C) 199 D) 1999 Answer: C Objective: (1.1) Solve Apps: Functions and Graphs 1

2 Decide whether or not the arrow diagram defines a function. ) Domain Range A) No B) Yes Objective: (1.1) Determine If Arrow Diagram Represents Function (Y/N) ) The function E() = gives the approimate total earnings of a compan, in millions of dollars, where = 0 corresponds to 199, = 1 corresponds to 1997, and so on. This model is valid for the ears from 199 to 000. Determine the earnings for Round to two decimal places if necessar. A) $.1 million B) $1.97 million C) $1.79 million D) $1.9 million Objective: (1.1) Solve Apps: Find, Interpret Function Value Determine whether or not the relationship shown in the table is a function. ) Januar Weight (lbs) Does the table define weight as a function of the da in Januar? A) Yes B) No Answer: A Objective: (1.1) Determine If Table Defines Function (Y/N) Graph the function with a graphing utilit. 7) =

3 A) B) C) D) Objective: (1.) Graph Function ) The simple interest I on an investment is equal to the principal P times the annual interest rate r times the time t the mone is invested, in ears. Write the equation that models the interest as a function of the number of ears invested if $0,000 is invested at % per ear. A) I = 0,000(0.)t B) I = 0,000(0.0)t C) I = 0,000()t D) I = 0, t Objective: (1.) Solve Apps: Graphs of Functions, Models 9) A small to compan that onl makes action figures is owned b its stockholders. The dividend per share of stock is a function of the number of action figures it sells and is defined b D() = $.1-$70, 39 where is the number of action figures sold. What is the dividend for each share of stock if 130 action figures are sold? A) -$1. B) $1. C) $1. D) -$.9 Answer: C Objective: (1.) Solve Apps: Find, Interpret Function Value Given Eqn 3

4 Provide an appropriate response. ) Decide if the window [-, 7] b [-7, ] shows a complete graph of the function f() = A) No B) Yes Objective: (1.) *Know Concepts: Functions, Graphs, Models 11) The polnomial function I(t) = -.1t + 1.t represents the earl income (or loss) from a real estate investment, where t is time in ears. After what ear does income begin to decline? A) B) 1 C) 7 D) 9.33 Answer: C Objective: (1.) Solve Apps: Graphs of Functions, Models Graph the equation. 1) - = A) B)

5 C) D) Objective: (1.3) Graph Linear Function Find the slope of the line (if it eists) and the -intercept (if it eists). 13) = 3 + A) Slope -; -intercept (0, 3) B) Slope ; -intercept (0, 3) C) Slope -3; -intercept (0, ) D) Slope 3; -intercept (0, ) Objective: (1.3) Find Slope and -Intercept Given Equation Decide whether the slope is positive, negative, zero, or undefined. 1) - - A) Zero B) Undefined C) Positive D) Negative Objective: (1.3) Determine Nature of Slope from Graph

6 1) The percent p of high school students who participate in sports at a public high school can be modeled b p - 1 =,where is the number of ears after Interpret the slope as a rate of change if is the independent variable. A) The percent of high school students who participate in sports at this school is decreasing b 1 percent per ear. B) The percent of high school students who participate in sports at this school is increasing b 1. percent per ear. C) The percent of high school students who participate in sports at this school is decreasing b 1. percent per ear. D) The percent of high school students who participate in sports at this school is increasing b 1 percent per ear. Objective: (1.3) Solve Apps: Find, Interpret Slope As Rate of Change Write the equation of the line using the information given about its graph. 1) Slope - 3, -intercept 3 A) = 3-3 B) = C) = D) = Objective: (1.) Write Equation of Line Given Slope, -Intercept Write the equation of the line whose graph is shown. 17) A) = 7 - B) = 7 - C) = -7 - D) = Objective: (1.) Write Equation of Line from Graph

7 1) A gas station sells 0 gallons of regular unleaded gasoline in a da when the charge $1.3 per gallon, whereas the sell 390 gallons on a da that the charge $1.0 per gallon. Find a linear function that epresses gallons sold as a function of price. Use this function to predict the number of gallons sold at a price of $1.3 per gallon. A) 701 gallons B) 70 gallons C) 70.7 gallons D) 70.1 gallons Objective: (1.) Solve Apps: Eqns of Lines, Rates of Change 19) The table below shows the weight for a calf raised b a local rancher. Use the information to determine the average rate of change in the calf's weight per da. Calf's Weight Da Weight (in lbs) A) 1 lb per da B) 0 lbs per da C) 00 lbs per da D) lbs per da Objective: (1.) Solve Apps: Eqns of Lines, Rates of Change Write the equation of the line using the information given about its graph. 0) Slope -, -intercept (0, 7) 3 A) = 3-7 B) = C) = D) = Objective: (1.) Write Equation of Line Given Slope, -Intercept 7