A+ Answers

Determine the degree and the leading coefficient of the polynomial function f(x) = -2x3 (x - 1)(x + 5).

A. 5; -2

B. 7; -4

C. 2; -5

D. 1; -9

All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0.

A. horizontal asymptotes

B. polynomial

C. vertical asymptotes

D. slant asymptotes

Use the Intermediate Value Theorem to show that each polynomial has a real zero between the given integers.

f(x) = x3 - x - 1; between 1 and 2

A. f(1) = -1; f(2) = 5

B. f(1) = -3; f(2) = 7

C. f(1) = -1; f(2) = 3

D. f(1) = 2; f(2) = 7

 Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of the following rational function.

f(x) = x/x + 4

A. Vertical asymptote: x = -4; no holes

B. Vertical asymptote: x = -4; holes at 3x

C. Vertical asymptote: x = -4; holes at 2x

D. Vertical asymptote: x = -4; no holes

Write an equation that expresses each relationship. Then solve the equation for y.

x varies jointly as y and z

A. x = kz; y = x/k

B. x = kyz; y = x/kz

C. x = kzy; y = x/z

D. x = ky/z; y = x/zk

Question

use the Intermediate Value Theorem to show that each polynomial has a real zero between the given integers.

f(x) = 2x4 - 4x2 + 1; between -1 and 0

A. f(-1) = -0; f(0) = 2

B. f(-1) = -1; f(0) = 1

C. f(-1) = -2; f(0) = 0

D. f(-1) = -5; f(0) = -3