Concept explainers
Simplifying difference quotients Evaluate and simplify the difference quotients
19. f(x) = x3 + 2
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
Calculus: Early Transcendentals, Books a la Carte Plus MyLab Math/MyLab Statistics Student Access Kit (2nd Edition)
Additional Math Textbook Solutions
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
University Calculus: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (4th Edition)
Precalculus (10th Edition)
- Evaluate the price wise function at the given value of the indépendant variable. Evaluate at f(4). f(x)=6x-1 if x<0 7x+3 if x was greater than or equal to 0arrow_forwardDetermine the smallest value of the constant a for which the graph of the function f(x) = ax−x is always above the x−axis. Help me fast so that I will give good rating.arrow_forwardThe volume of a cylindrical canister is given by the formula V=nr^2h Part1. Write a function f(V) to express the radius of the canister as a function of the volume. Part 2. Suppose a certain type of canister must have a height of 32 centimeters (cm), so the quantity nh is about 100 cm. Write an updated version of the function f(V), using 100 for nh, to determine the radius of the canister that would result in certain volumes. Complete the table to find the values of f(V) for V = 25; 100; 625; 900; 2,500; and 10,000. Part 3. Plot the points from your table on the grid and sketch the graph. Part 4. If the graph were rotated 90° counterclockwise about the origin, which function would the result resemble? Explain your answers, including relating the two functionsarrow_forward
- 2. Determine the point(s) of intersection of the functions f(x)=4x2-x+5 and g(x)=+41x-91 algebraically. pleses type the answer, not in writing.arrow_forwardUsing analytical methods, find all critical numbers (exact values) of the function.f(x) = 1/(x − 1)^2 −1/x^2arrow_forwardUsing linear approximation to estimate f(3.2)-f(3) for f(x)8/(1+x^2)arrow_forward
- What’s F(3)= What’s X=arrow_forwardHow do you evaluate the function h(x)=x^4+2x^2+1 with these values: H(3) H(-1) H(-x) H(3a)arrow_forward15,000 blue trout were released into the Meherrin river for a scientific study. The function, f(x) = 15,000 (9/8)^x , represents the number of blue trout after x years. In 5 years what will happen to the population?arrow_forward
- The revenue function for a sound system is R(x) = 400x − x2 dollars where x denotes the number of units sold. (a) What is the expression that gives marginal revenue? (b) What is the marginal revenue if 50 units are sold?What does it mean? R(x) is decreasing.R(x) is constant. R(x) is increasing. (c) What is the marginal revenue if 180 units are sold?What does it mean? R(x) is decreasing.R(x) is constant. R(x) is increasing. (d) What is the marginal revenue if 200 units are sold?(e) As the number of units sold passes through 200, what happens to the revenue? The revenue changes from decreasing to increasing.The revenue changes from increasing to decreasing.arrow_forwarddomain of (g o f)(x)arrow_forwardUsing concepts of derivatives explain how you would determine the interval for which the following function is decreasing: y=2x^3-9x^2-24x-10arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage