MATH 185 CHAPTER 2 REVIEW

Transcription

1 NAME MATH 18 CHAPTER REVIEW Use the slope and -intercept to graph the linear function. 1. F() = Objective: (.1) Graph a Linear Function Determine whether the given function is linear or nonlinear.. = f() Objective: (.1) Graph a Linear Function 1

2 Determine the average rate of change for the function. 3. F() = -9 Objective: (.1) Use Average Rate of Change to Identif Linear Functions Graph the function. State whether it is increasing, decreasing, or constant.. 4. f() = Objective: (.1) Determine Whether a Linear Function is Increasing, Decreasing, or Constant Find the zero of the linear function.. F() = 1 - Objective: (.1) Find the Zero of a Linear Function

3 Solve the problem. 6. A truck rental compan rents a moving truck one da b charging $7 plus $0.13 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number of miles driven. What is the cost of renting the truck if the truck is driven 00 miles? Objective: (.1) Work with Applications of Linear Functions 7. Let f() be the function represented b the dashed line and g() be the function represented b the solid line. Solve the equation f() = g() Objective: (.1) Find the Zero of a Linear Function 3

4 8. Let f() be the function represented b the dashed line and g() be the function represented b the solid line. Solve the equation f() < g() Objective: (.1) Find the Zero of a Linear Function If varies directl as, find a linear function which relates them. 9. = 8 when = 4 Objective: (.) Construct a Linear Model Using Direct Variation Solve. 10. If the resistance in an electrical circuit is held constant, the amount of current flowing through the circuit varies directl with the amount of voltage applied to the circuit. When volts are applied to a circuit, 1 milliamperes of current flow through the circuit. Find the new current if the voltage is increased to 10 volts. Objective: (.) Construct a Linear Model Using Direct Variation 4

5 Use factoring to find the zeros of the quadratic function. List the -intercepts of the graph of the function. 11. f() = Objective: (.3) Find the Zeros of a Quadratic Function b Factoring 1. G() = + Objective: (.3) Find the Zeros of a Quadratic Function b Factoring 13. f() = - 81 Objective: (.3) Find the Zeros of a Quadratic Function b Factoring Find the zeros of the quadratic function using the Square Root Method. List the -intercepts of the graph of the function. 14. g() = ( - 7) - 4 Objective: (.3) Find the Zeros of a Quadratic Function Using the Square Root Method Find the zeros of the quadratic function b completing the square. List the -intercepts of the graph of the function. 1. F() = Objective: (.3) Find the Zeros of a Quadratic Function b Completing the Square

6 Find the real zeros, if an, of each quadratic function using the quadratic formula. List the -intercepts, if an, of the graph of the function. 16. g() = Objective: (.3) Find the Zeros of a Quadratic Function Using the Quadratic Formula Solve f() = g(). Find the points of intersection of the graphs of the two functions. 17. f() = g() = Objective: (.3) Find the Point of Intersection of Two Functions Find the real zeros of the function. List the -intercepts of the graph of the function. 18. F() = Objective: (.3) Solve Equations That Are Quadratic in Form 6

7 Graph the function f b starting with the graph of = and using transformations (shifting, compressing, stretching, and/or reflection). 19. f() = Objective: (.4) Graph a Quadratic Function Using Transformations Find the verte and ais of smmetr of the graph of the function. 0. f() = Objective: (.4) Identif the Verte and Ais of Smmetr of a Quadratic Function 7

8 Graph the function using its verte, ais of smmetr, and intercepts. 1. f() = Objective: (.4) Graph a Quadratic Function Using Its Verte, Ais and Intercepts Determine, without graphing, whether the given quadratic function has a maimum value or a minimum value and then find that value.. f() = - - Objective: (.4) Find the Maimum or Minimum Value of a Quadratic Function Solve the problem. 3. A projectile is thrown upward so that its distance above the ground after t seconds is h = -13t + 468t. After how man seconds does it reach its maimum height? Objective: (.6) Solve Applied Problems b Building Quadratic Functions 8

9 4. The owner of a video store has determined that the cost C, in dollars, of operating the store is approimatel given b C() = , where is the number of videos rented dail. Find the lowest cost to the nearest dollar. Objective: (.6) Solve Applied Problems b Building Quadratic Functions Find the comple zeros of the quadratic function.. g() = Objective: (.7) Find the Comple Zeros of a Quadratic Function 9

10 Answer Ke Testname: 18 CH REV FRA linear increasing C() = ; $ = 3 8. > 1 9. f() = milliamperes 11. = -8, = 3 1. = 0, = = -9, = =, = 9 1. = -1, = = 9 ± = -1, = = -1, = 1, = -, = 10

11 Answer Ke Testname: 18 CH REV FRA (-1, -4); = verte (-, 0) intercepts (0, ), (-, 0) minimum; s 4. $61. = 1 6 ± 3 6 i 11