Concept explainers
Find the domain and the range of each of the functions defined in Exercises 51–56.
Graph each of the following functions. Check your results using a graphing calculator.
55.
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College Algebra: Graphs and Models (6th Edition)
- 12. Determine what type of function the following table is:arrow_forwardCreate multiple representations (x-> y table, graph, and equation) of the function g(x)= 2/x. Then make at least 3 summary statements.arrow_forwardGraph both functions on one set of axes. f(x) = (3) * O -4 4 and g(x) = 1.5* -2 -2 y 2 y 6 4 2 f 2 2 4 X X 4 -2 -2 y 6 4 2 y 6 4 2 2 2 g 4 4 X Xarrow_forward
- Please provide clear and complete step-by-step solution in scanned handwriting or computerized output.arrow_forward9. Let f and f-1 be functions. If the point (-4, 6) is on the graph of f-1, what point is on the graph of f? Answer=arrow_forward. Write the equation of the function with h(5) = 12 and h(–3) = –4arrow_forward
- If (1, a), (b, 1), (c, 17) are points on the graph of the function h(t), which points are on the graph of the function -h(t)? Select one: O (1, -a) and (c, –17). O (-6, –1) and (c, 17). O (-6, n) and (1, a). O (-c, –17) and (b, T).arrow_forwardYour cardiac index is your heart's output, in liters of blood per minute, divided by your body's surface area, in square meters. The cardiac index, C(x), can be modeled by 7.644 C(x) = 10 s xs 80, where x is an individual's age, in years. The graph of the function is shown. Use the function to solve Exercises 95–96. 7.644 C(x) = %3D 10 20 30 40 50 60 70 80 90 Age 95. a. Find the cardiac index of a 32-year-old. Express the denominator in simplified radical form and reduce the fraction. b. Use the form of the answer in part (a) and a calculator to express the cardiac index to the nearest hundredth. Identify your solution as a point on the graph. 96. a. Find the cardiac index of an 80-year-old. Express the denominator in simplified radical form and reduce the fraction. Cardiac Index liters per minute squar e met ers 654 32arrow_forward1.2.4arrow_forward
- Let A = {a, b, c, d, e} and B = {1, 2, 3}. a. Find the number of 1-1 functions from A to A b. Find the number of 1-1 functions from A to B c. Find the number of 1-1 functions from B to Aarrow_forwardUse Microsoft Excel to investigate the following function: f(x) = x³+x2-3x-1 Generate a table of ordered pairs for values of x ranging from -3 to +2. Use a step size of 0.2. You will have 26 x-values and 26 corresponding values of f(x). Insert an x,y scatter plot of the tabulated data into the worksheet. Use the graph to answer the following question. Which of the following are close to roots of the function (x-values for which the function is equal to zero)? Select one or more: a. -2.2 O b. -1.4 c. -0.4 O d. +0.8 O e. +1.4arrow_forwardThe annual number of cars and trucks sold by a dealership can be modeled by the functions given below where x is the number of years since 2000. Fi Cars sold: c(x) =1.118x³ – 22.1492x +95.2693x +1210.7673 Trucks sold: t(x)=1.5964x³ - 36.4112x +200.5798x+476.9031 56. Write a function, T(x), that models the total annual number of cars and trucks sold. A) T(x)=2.7144x³ – 58.5604x² +295.8491x +1687.6704 6. B) T(x) =0.4784x³ –14.262x +105.3105x-733.8542 C) T(x) =2.7144x – 58.5604x² +105.3105x +733.7642 Cho D) T(x)=-0.4784x° +14.262x² – 105.3105x +733.8642 A) { 57. Write a function, D(x), that models how many more cars than trucks were sold annually. AB) A) D(x)=2.7144x³ +58.5604x +295.8491x +1687.6704 B) D(x) =0.4784x' -14.262x? +105.3105x -733.8642 C) D(x)=2.7144x³ – 58.5604x² +105.3105x+733.7642 Fi D) D(x)=-0.4784x³ +14.262x² – 105.3105x+733.8642 58. According to the model, how many cars and trucks were sold in 2009? (Round to nearest whole number.) 6. 59. According to the model, how many…arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell