Concept explainers
In Exercises 39-52,
a. Find an equation for
b. Graph f and
c. Use interval notation to give the domain and the range of f and
(Hint for Exercises -19-52: To solve for a variable involving an nth root, raise both sides of the equation to the nth power:
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
Algebra and Trigonometry (6th Edition)
- 15) Evaluate each function given that f(x) = 3x? – 2x and g(x) = -8x – x. Give your answer in simplest form. a) f(-9) b) g(-3) c) f(p + 4)arrow_forwardAnnie is renting an apartment and sees in the rental agreement that each year they will raise the rent by 5%. The rent when she first signs the agreement is $850. What function best models the amount of rent she will have to pay in each future year? A) y = 50x + 850 B) y- 850x + 50 C) y = 850(1.05)* D) y = 850(0.05)*arrow_forwardIs the point (1, -2) on the graph of the function k(x) = x2 + (2>x)?arrow_forward
- The circulation of a newspaper is increasing at a constant rate. Three months ago the circulation was 4200. Today, it is 6200. Let x represent the number of months after today. a) Express the circulation as a function of time. Try drawing the graph. C(x)= b) What will be the circulation 3 months from now? units. c) When will circulation reach 8867 newspapers?arrow_forwardPls help ASAParrow_forward1.) Determine if each equation is a function. a.) x - y = 5 b.) y=x²-3x + 5 c.) x² + y² = 16 2.) Consider the function f(x) = (3,2), (5,-1), (6,3)} a.) State the domain and range b.) Find f(5) c.) Find ¹(-1) d.) If f(x) = 3, find x. 3.) Consider the function g(x)=-3x² - 2x a.) Find g(1) b.) Find g(-3) c.) Find g(a) d.) Find g(2a) 4.) Consider the function f(x) = -2x - 2 a.) Find f(-3) b.) Sketch a graph of the function c.) If f(x) = 4, find x d.) Find the equation for the inverse of the function. 5.) Consider the function f(x) = -x - 21+ 3 a.) Find f(4) b.) Find f(-3) c.) Sketch a graph of the function 6.) Write the domain of each function in interval notation. a.) f(x) = x - 1 b.) f(x) = c.) f(x)=x+ = √√x + 3 7.) Consider the function f(x) = a.) Find f(-4) b.) Find f(7) c.) Find f(5) 2x-1 if x > 5 3 if x ≤ 5arrow_forward
- Describe the graph of x = 4 on (a) the number line, (b) the two-dimensional coordinate system, and (c) the three-dimensional coordinate system.arrow_forwardLet Z be the set of all integers and Q be the set of all rational numbers and R be the set of all real numbers, A = (20, 100], B = (90, 150], C= {70, 100, 200}, D = (10, 30) and E = {x e Z: X =7 (mod 10)}. Find:arrow_forwardOne model for expenditures at high school gives the cosr C, in dollars per pupil, as a function of the number n of students enrolled. The relationship is C= 725 - 0.4 n + 0.00012n^2 A) find the cost that corresponds to the minimum cost per pupil B) find the enrollment that corresponds to the minimum cost per pupilarrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill