Need help with this math page 3.5Determine whether the graph of the rational function h(x) = 5(x+2) has a verticalasymptote, a removable discontinuity, or both. List any discontinuities and explain yourreasoning. (F.IF.C.8)4.Determine whether the graph of the rational function f(x)= x²+2x-24 has a verticalx + 6asymptote, a removable discontinuity, or both. List any discontinuities and explain yourreasoning. (F.IF.C.8)5.Determine the least common denominator (LCD) of the rational expressions. (A.APR.D.6)3xbe nerob all vix + 1x²64 x² +16x + 646.Perform the indicated operation. List any restrictions for the variable(s) and simplify theanswers when possible. (A.APR.D.6)X2y4x+a.3 9 1212x²18xyzb.5z25y²(28.33) (01. Explain why the function f(x) = x3 is invertible. (F.BF.B.4)(3.39.3) 02x2.How can you use the Vertical Line Test and the Horizontal Line Test to determine whether.MODULE 2: Developing Structural Similarities÷

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Answered: 3. 5(X+3) has a vertical Determine…

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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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).
If the graph of a rational function has a removablediscontinuity, what must be true of the functionalrule?
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.

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3. 5(X+3) has a vertical Determine whether the graph of the rational function h(x) = asymptote, a removable discontinuity, or both. List any discontinuities and explain your reasoning. (F.IF.C.8)