Graded Exam #3 - exam 3 PDF

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3/30/2021

Graded Exam #3

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Topic 9: Graphing Polynomial Functions

Started on Tuesday, March 30, 2021, 6:10 PM State Finished Completed on Tuesday, March 30, 2021, 6:55 PM Time taken 44 mins 36 secs Grade 131.25 out of 175.00 (75%)

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Question 1

Graded Exam #3

Graph the equation by plotting points.

Correct 8.75 points out

x = | y| - 5

of 8.75

Select one: a.

b.

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c.

d.

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Question 2

Graded Exam #3

Determine whether the relation defines y as a function of x.

Correct 8.75 points out of 8.75

Select one: a. Not a function b. Function

Question 3 Incorrect 0.00 points out

Use the slope-intercept form to write an equation of the line that passes through the given point and has the given slope. Use function notation where y = f(x).

of 8.75

(-2.5, 4.3); m = -5.2 Select one: a. f(x) = -5.2x - 8.7 b. f(x) = -5.2x + 8.7 c. f(x) = -8.7x - 5.2 d. f(x) = -5.2x + 4.3

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Question 4

Graded Exam #3

Graph the equation and identify the x- and y-intercepts.

Correct 8.75 points out

5y + 1 = 21

of 8.75

Select one: a. x-intercept: (4,0); y-intercept: none

b. x-intercept: none; y-intercept: (0, -4)

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c. x-intercept: (-4,0); y-intercept: none

d. x-intercept: none; y-intercept: (0, 4)

Question 5 Incorrect

Determine if the lines dened by the given equations are parallel, perpendicular, or neither.

0.00 points out of 8.75

y= x-2 y=-

x-4

Select one: a. neither b. perpendicular c. parallel https://moodle.straighterline.com/mod/quiz/review.php?attempt=3796355

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Question 6

Graded Exam #3

Use transformations to graph the given function.

Correct 8.75 points out

f (x) = |4x|

of 8.75

Select one: a.

b.

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c.

d.

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Question 7 Incorrect 0.00 points out of 8.75

Graded Exam #3

Write a function based on the given parent function and the transformations in the given order. Parent function y = 1. Shift 9 units to the left. 2. Shift horizontally by a factor of 5. 3. Reect across the x-axis. Select one: a. y = b. y = c. y = d. y =

Question 8

Determine if the function is odd, even, or neither.

Incorrect 0.00 points out

f (x) = 3x4 + 3|x3| - 3

of 8.75

Select one: a. even b. neither c. odd

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Question 9

Graded Exam #3

Solve the problem.

Incorrect 0.00 points out of 8.75

Gas mileage is tested for a car under different driving conditions. At lower speeds, the car is driven in stop and go trac. At higher speeds, the car must overcome more wind resistance. The variable x given in the table represents the speed (in mph) for a compact car, and m(x) represents the gas mileage (in mpg). Use regression to nd a quadratic function to model the data and then use the function to determine the speed with the greatest gas mileage. Round to the nearest mile per hour. Carry out all computations up to the nal answer without rounding.

x 25 30 35 40 45 50 55 60 65 m(x) 21.4 25.428.229.9 30.429.8 2825.121

Select one: a. 43 mph b. 41 mph c. 45 mph d. 47 mph

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Question 10

Graded Exam #3

Identify the graph of the function.

Correct 8.75 points out

h(x) = (x + 1)2 - 2

of 8.75

Select one: a.

b.

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c.

d.

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Question 11

Graded Exam #3

Find the zeros of the function and state the multiplicities.

Correct 8.75 points out

f (x) = [x - (4 -

)][x - (4 +

)]

of 8.75

Select one: a. 4 -

; multiplicity 2

b. 4 +

; multiplicity 2

c. 4 ±

; each of multiplicity 1

d. -4 ±

; each of multiplicity 1

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Question 12 Correct 8.75 points out

Graded Exam #3

Determine if the graph can represent a polynomial function. If so, assume the end behavior and all turning points are represented on the graph.

of 8.75

a. Determine the minimum degree of the polynomial based on the number of turning points. b. Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even. c. Approximate the real zeros of the function, and determine if their multiplicity is odd or even. Select one: a. a. Minimum degree 3

b. Leading coefficient negative degree odd c. -3 (even multiplicity), -2 (even multiplicity), 2 (odd multiplicity) b. a. Minimum degree 4

b. Leading coefficient positive degree even c. -3 (odd multiplicity), -2 (odd multiplicity), 2 (even multiplicity) c. a. Minimum degree 3

b. Leading coefficient positive degree odd c. -3, -2, and 2 (each with odd multiplicity) d. Not a polynomial function.

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Question 13

Graded Exam #3

Solve the problem.

Correct 8.75 points out

The following table represents the result of a synthetic division.

of 8.75

Use x as the variable. Identify the remainder. Select one: a. 19 b. 8x2 + 10x + 13 c. 8x 3 - 6x 2 - 7x - 7 d. x - 2

Question 14 Correct 8.75 points out of 8.75

Use the remainder theorem to determine if the given number c is a zero of the polynomial. x4 + 9x3 + 22x2 + 19x + 45; c = -3 Select one: a. No b. Yes

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Question 15

Graded Exam #3

Find all the zeros.

Correct 8.75 points out

f (x) = x3 + 10x2 + 25x + 18

of 8.75

Select one: a. 2, -4 ± b. -2, -4 ± c. -2, -4 ± 7i d. 2, -4 ± 7i

Question 16

List the possible rational zeros.

Correct 8.75 points out

f (x) = x6 - 2x4 + 7x2 + 25

of 8.75

Select one: a. 1, 5, 25 b. -1, -5, -25 c. ±1, ± , ± d. ±1, ±5, ±25

Question 17

Provide the missing information.

Correct 8.75 points out of 8.75

Given the function f : = {(1, 2), (2, 3), (3, 4)} write the set of ordered pairs representing f -1 (please use the same format in your answer including commas between ordered pairs) Answer:

{(2,1),(3,2),(4,3)}

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Question 18 Correct

Graded Exam #3

A one-to-one function is given. Write an expression for the inverse function.

8.75 points out of 8.75

Select one: a. f -1(x) =

b. f -1(x) =

c. f

-1

(x ) =

d. f -1(x) =

Question 19

3

Provide the missing information.

Correct 8.75 points out of 8.75

A function dened by y = f (x) (is/is not) a one-to-one function if no horizontal line intersects the graph of f in more than one point. Answer:

is

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Question 20

A one-to-one function is given. Write an expression for the inverse function.

Correct 8.75 points out

g (x) = r (x + q)7 + s

of 8.75

Select one: a. g -1(x) =

b. g -1(x) =

-q

c. g -1(x) =

d. g -1(x) =

-q

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