$$(-6, 3)$$, $$(7, 9)$$, $$(9, \\infty)$$

Question 1

Suppose the functions $$r(x) = x + 3$$ and $$s(x) = 2x^2$ are defined for all real numbers x$. What is (s - r)(x$$)$$?

Accepted Answer

$$2x^2 - x - 3$

Question 2

Given $$q(x) = 3x - 1$$ and $$r(x) = -4x^2$ + 1$$, what is $$(q \circ r)(-5)$$?

Accepted Answer

$$62$$

Question 3

A ball is thrown from a building and its height is modeled by $$h = 67 - 5t - 5t^2$. How long after the ball is thrown does it hit the ground?

Accepted Answer

$$3.19$$ seconds

Question 4

For the quadratic function $$f(x) = -2x^2$ - 20x - 49$$, what is the $$x-$$coordinate of the vertex?

Accepted Answer

$$x = -5$$

Question 5

Given the polynomial $$w^8 - 6 + 3w$$ + $$5w^6$$, what is its degree?

Accepted Answer

$$8$$

Question 6

Suppose the polynomial $$f(x) = 4x(x-7)(x+13)^2$(x+5)^3$. Which zero has multiplicity three?

Accepted Answer

$$-5$$

Question 7

The unit cost for producing X-ray machines is given by $$C(x) = 0.3x^2$ - 150x + 26,424. $$How many machines must be made to minimize the unit cost?

Accepted Answer

$$250$$

Question 8

Which of the following is the correct end behavior for the graph of $$f(x) = -x^4$ - 2x^2$ + 8x^2$?

Accepted Answer

Falls to the left and falls to the right

Question 9

Given the quadratic $$y = 2(x+1)(x^2$-9)$$, which graph best represents this function?

Accepted Answer

Graph C

Question 10

For the function $$f(x) = -2x^2$ - 20x - 49$$, what is the minimum or maximum value of the function?

Accepted Answer

$$1$$

Question 11

What is the leading coefficient of the polynomial $$w^8 - 6 + 3w$$ + $$5w^6$$?

Accepted Answer

$$1$$

Question 12

For the function $$f(x) = 4x(x-7)(x+13)^2$(x+5)^3$, which zero has multiplicity two?

Accepted Answer

$$13$$

Question 13

Given the function $$h = 67 - 5t - 5t^2$, which type of equation best models the height of the ball?

Accepted Answer

Quadratic equation

Question 14

For the polynomial $$f(x) = 4x(x-7)(x+13)^2$(x+5)^3$, which zero has multiplicity one?

Accepted Answer

$$0$$

Question 15

Given the function $$f(x) = -x^4$ - 2x^2$ + 8x^2$, what is the sign of the leading coefficient?

Accepted Answer

Negative

Question 16

For the function $$f(x) = -2x^2$ - 20x - 49$$, does the function have a minimum or maximum value?

Accepted Answer

Maximum

Question 17

Given the polynomial $$f(x) = 4x(x-7)(x+13)^2$(x+5)^3$$, how many distinct real zeros does $$f(x)$ have?

Accepted Answer

4

Question 18

For the function $$f(x) = -x^4$ - 2x^2$ + 8x^2$, which graph best represents the function?

Accepted Answer

Graph E

Question 19

Given the intervals $$(-6, 3)$$, $$(7, 9)$$, and $$(9, \infty)$$, over which intervals is the function increasing?

Accepted Answer

$$(-6, 3)$$, $$(7, 9)$$, $$(9, \infty)$$

Question 20

Divide $$x^2 + 4x + 5$ by x + 2$. What is the remainder?

Accepted Answer

$$1$$

College Algebra: Functions, Quadratics, and Polynomials Study Guide

스터디 가이드 - 연습 문제