B. Consider the following equationf(x)=1. The rational function above has a zero located at:2. The zero has a multiplicity of:3. The rational function above has an even verticalasymptote located at:(x-3)²5(x + 1)²(x-2)4. The rational function above has an odd verticalasymptote located at:5. The rational function above has end behavior of:6. The denominator has a degree of :7. The rational function above has a y-intercept at:

Since you have asked a question with multiple parts in a single request we would be answering only…

Answered: B. Consider the following equation…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.CT: Chapter Test

Problem 11CT

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Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6 w(x)=x+3x3+6x+9x (a) Which of these rational functions has a horizontal asymptote? (b) Which of these functions has a slant asymptote? (c) Which Of these functions has no vertical asymptote? (d) Which Of these functions has a "hole"? (e) What are the asymptotes of the function r(x) ? (f) Graph y =u(x) , showing clearly any asymptote and x- and y intercepts the function may have. (g) Use long division to find a polynomial P that has the same end behavior as t. graph both P and t on the same screen to verify that they have the sane end behavior.
Match the graph of the rational function f(x)=ax+bcx+d with the given conditions. (a) (b) (c) (d) (i) a0b0c0d0 (ii) a0b0c0d0 (iii) a0b0c0d0 (iv) a0b0c0d0
If the graph of a rational function has a removablediscontinuity, what must be true of the functionalrule?
Now lets use a graphing calculator to get a graph of C=59(F32). By letting F=x and C=y, we obtain Figure 7.15. Pay special attention to the boundaries on x. These values were chosen so that the fraction (Maximumvalueofx)minus(Minimumvalueofx)95 Would be equal to 1. The viewing window of the graphing calculator used to produce Figure 7.15 is 95 pixels dots wide. Therefore, we use 95 as the denominator of the fraction. We chose the boundaries for y to make sure that the cursor would be visible on the screen when we looked for certain values. This was accomplished by setting the aforementioned fraction equal to 1 By moving the cursor to each of the F values, we can complete the table as follows. F 5 5 9 11 12 20 30 45 60 C 21 15 13 12 11 7 1 7 16 The C values are expressed to the nearest degree. Use your calculator and check the values in the table by using the equation C=59(F32).
For the following exercises, write an equation for a rational function with the given characteristics. Vertical asymptotes at x=4 and x=1,x-intercepts at (1,0) and (5,0),y-intercept at (0,7)
C of these fish caught by fishing over the life span of the fish is given by the catch equation C=FM+FN0 where F is the proportion of fish caught annually, M is the proportion of fish that die of natural causes annually, and N0 is the original number of fish F stocked in the lake. If we let x denotes the ratio FM, then the catch equation can be rewritten as C(x)=x1+xN0 Assume that a lake is stocked with 1000 channel catfish a. Write the catch equation for the lake stocked with channel catfish. b. What is the horizontal asymptote for the catch equation? c. Explain what the horizontal asymptote means in terms of the original 1000 fish. d. What is the vertical asymptote for the catch equation? Does the pole of the equation have any meaning in terms of the fish population?
For the following exercises, write an equation for a rational function with the given characteristics. Vertical asymptotes at x=3 and x=6,x-intercepts at (2,0) and (1,0), horizontal asymptote at y=2

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B. Consider the following equation (x-3)² 5(x + 1)²(x-2) f(x)=₁ 1. The rational function above has a zero located at: 2. The zero has a multiplicity of: 3. The rational function above has an even vertical asymptote located at: 4. The rational asymptote locat 5. The rational 1 6. The denomin