Math Exam 1: Linear, Quadratic, Exponential Functions, Cost Analysis, Piece-wise Functions, Exams of Mathematics

Download Math Exam 1: Linear, Quadratic, Exponential Functions, Cost Analysis, Piece-wise Functions and more Exams Mathematics in PDF only on Docsity! Math 1320, Exam #1 #1. Consider the data table: t z y x 3 0.25 3.1 8 5 12.55 4.464 24 7 24.85 6.42816 48 Each of x, y, and z is exactly linear, quadratic, or exponential function of t. Look at differences or ratios to determine which is what. Then write the corresponding equation and also the slope, base, or quadratic coefficient, as is appropriate. • x is ___________, x(t) = __________________ and ____________ is ___________________ word equation word number • y is ___________, y(t) = __________________ and ____________ is ___________________ word equation word number • z is ___________, z(t) = __________________ and ____________ is ___________________ word equation word number #2. A toy store must pay $12.60 each for a popular computer game. The store’s fixed cost for this game is $748. The store sells each one of these games for $16. a. Write the cost(q) equation. d. Find the break-even quantity. b. Write the revenue(q) equation. e. What is the revenue for this break-even quantity? c. Write the profit(q) equation. #3. Consider the piece-wise function 2 2 , if 1 1 ( ) , if 1 < 4 4 (4 ) , if 4 x x f x x x x x  − − ≤ ≤  = ≤  − − < a. Graph the function. (Axes included on the exam.) b. What is the domain of this function? c. What is the x-intercept of this function? d. Verify this last fact algebraically.