Yernur Yermek Assignment Quiz3 due 12/05/2017 at 12:55pm EST MATH-160-2017F-Jones Problem 1. 1. (1 point) Suppose A is directly proportional to the square of B, and A = 75 when B = 5. (1) Find the constant of proportionality. help (numbers) (2) Write the formula for A in terms of B. help (equations) (3) Use your formula to find A when B = 6. A= help (numbers) Problem 2. 2. (1 point) Suppose A is inversely proportional to the square of B, and A = 4 when B = 3. (1) Find the constant of proportionality. help (numbers) (2) Write the formula for A in terms of B. help (equations) (3) Use your formula to find A when B = 6. A= help (numbers) Problem 3. 3. (1 point) Find a possible formula for f (x) if f (1) = 8 and f (3) = 56 and: (a) f (x) is a linear function. f (x) = (b) f (x) is a power function. f (x) = c) f (x) is an exponential function. f (x) = Problem 4. 4. (1 point) Determine the end behavior of the following polynomial function: f (x) = −8x9 − 20x5 − 16x16 − 60x13 + 13 The leading term of the polynomial is The degree of f (x) is The leading coefficient is The end behavior of the polynomial f (x) is of the form: • A • B • C • D where: 1 at x = −4. The y-intercept is y = −2; Find a formula for P(x). P(x) = , Problem 6. 6. (1 point) Find a degree 3 polynomial that has zeros −2, 3 and 7 and in which the coefficient of x2 is −16. The polynomial is Problem 7. 7. (1 point) List all real values of x such that f (x) = 0. If there are no such real x, type DNE in the answer blank. If there is more that one real x, give a comma separated list (e.g. 1,2). −13 20 f (x) = + x + 18 x + 16 x= Problem 8. 8. (1 point) Consider the function −7x + 6 f (x) = (7x + 5)(9x + 5) Find the vertical asymptote(s). If there is more than one vertical asymptote give a list of the x-values separated by commas. If there are no vertical asymptotes, type in none . x= If this function has a horizontal asymptote, give its y-value. If there is no horizontal asymptote, type in none . y= Find the x-intercept(s). If there is more than one x-intercept give a list of the x-values separated by commas. If there is no x-intercept type in none . x= Find the y-intercept y= Find the domain. Write a comma separated list of all the x values that are not in the domain. If there are no such x, type none in the answer blank. x 6= Problem 5. 5. (1 point) The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 1 and a root of multiplicity 1 Generated by c WeBWorK, http://webwork.maa.org, Mathematical Association of America 2
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