2+4 Graph the function f (a) = .What does the shape of the graph between the vertical asymptotes %3D 22-Sz-3 resemble? O an upside-down letter U O the graph of y=2 O the graph of y = -2 %3D O the letter U The slant asymptote of the graph of g (x) = 3a +11a-11 is which of the following? %3D z-4 Oy =-3-22 Or= 4 O y = -3z Oy =-3z-1

2+4 Graph the function f (a) = .What does the shape of the graph between the vertical asymptotes %3D 22-Sz-3 resemble? O an upside-down letter U O the graph of y=2 O the graph of y = -2 %3D O the letter U The slant asymptote of the graph of g (x) = 3a +11a-11 is which of the following? %3D z-4 Oy =-3-22 Or= 4 O y = -3z Oy =-3z-1

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section4.1: Exponential Functions

Problem 3E: (a) To obtain the graph of g(x)=2x1 , we start with the graph of f(x)=2x and shift it _____________...

See similar textbooks

Similar questions

A business has a cost function of C=0.4x+8000, where C is measured in dollars and x is the number of units produced. The average cost per unit is given by C=Cx=0.4x+8000x,x0. a. Find the average costs per unit when x=1000,x=8000,x=20,000,andx=100,000. b. What is the horizontal asymptote of the graph of this function, and what does it represent?
Getting Information from a Graph From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes.
(a) To obtain the graph of g(x)=2x1 , we start with the graph of f(x)=2x and shift it _____________ (upward/ downward) 1 unit. (b) To obtain the graph of h(x)=2x1 , we start with the graph of f(x)=2xand shift it to the (left/right) 1unit.
f(x) = x3 + x2 - 4x - 4 a. Use the Leading Coefficient Test to determine the graph’s end behavior.b. Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept.c. Find the y-intercept.d. Determine whether the graph has y-axis symmetry, origin symmetry, or neither.e. If necessary, find a few additional points and graph the function. Use the maximum number of turning points to check whether it is drawn correctly.
f(x) = 2x3 + 3x2 - 8x - 12. a. Use the Leading Coefficient Test to determine the graph’s end behavior.b. Determine whether the graph has y-axis symmetry, origin symmetry, or neither.c. Graph the function.
f(x) = x3 + 2x2 - x - 2 a. Use the Leading Coefficient Test to determine the graph’s end behavior.b. Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept.c. Find the y-intercept.d. Determine whether the graph has y-axis symmetry, origin symmetry, or neither.e. If necessary, find a few additional points and graph the function. Use the maximum number of turning points to check whether it is drawn correctly.
Revenue If the price from the sale of x units of aproduct is given by the function p = 100x - x2,the revenue function for this product is given byR = px = (100x - x2)x.a. Find the numbers of units that must be sold to givezero revenue.b. Does the graph of the revenue function verify thissolution?
(a) Using a graphing utility, graph f1x2 = x3 - 9x for- 4 ... x ... 4.(b) Find the x-intercepts of the graph of f.(c) Approximate any local maxima and local minima.(d) Determine where f is increasing and where it isdecreasing.(e) Without using a graphing utility, repeat parts (b)–(d)for y = f1x + 22.(f) Without using a graphing utility, repeat parts (b)–(d) fory = 2f1x2.(g) Without using a graphing utility, repeat parts (b)–(d)for y = f1 - x2.
f(x)=-x^4+4x^2 a. use the leading coefficient test to determine the graph's end behavior a. the graph of f(x) rises left and rises right b. the graph of f(x) falls left and falls right c. the graph of f(x) rises left and falls right d. the graph of f(x) falls left and rises right b. find the x-intercepts x=___ at which zeros does the graph of the function cross the x-axis? c. find the y-intercept by computing f(0) f(0)=___ d. determine the symmetry of the graph a) even, y-axis symmetry b) odd; origin symmetry c) neither
Consider the graph of y = -⅓x3 – x2 + 3 . Find the interval(s) on which the graph is concave up. Find the interval(s) on which the graph is concave down. Find any points of inflection. Graph the function.