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- Question 1 of 24
##### 1. Question

1 point(s)Category: K/U1. Given a function of the form

*y*=*a*[*k*(*x*–*d*)]+^{n}*c*, where*k*> 0, the transformation that occurs by changing the value of*k*isCorrectIncorrect - Question 2 of 24
##### 2. Question

1 point(s)Category: K/U2. The graph of the function

*y*=*x*^{4 }is transformed to the graph of the function*y*= –2(*x –*3)^{4 }+ 1 byCorrectIncorrect - Question 3 of 24
##### 3. Question

1 point(s)Category: K/U3. The graph of the function

*y*=*x*(*x*– 1)^{3}(*x*+ 2)^{2 }would most closely resembleCorrectIncorrect - Question 4 of 24
##### 4. Question

1 point(s)Category: K/U4. Which of the following graphs represents the function

*y*= 2*x*^{5 }– 3*x*^{4}+ 1?CorrectIncorrect - Question 5 of 24
##### 5. Question

1 point(s)Category: K/U5. The least possible degree of the polynomial function represented by the graph shown is

CorrectIncorrect - Question 6 of 24
##### 6. Question

1 point(s)Category: K/U6. An equation representing a function that extends from quadrant 2 to quadrant 4 is

CorrectIncorrect - Question 7 of 24
##### 7. Question

1 point(s)Category: K/U7. Which of the following is not a polynomial function?

CorrectIncorrect - Question 8 of 24
##### 8. Question

1 point(s)Category: K/U8. Given the function

*y*= (*x –*1)^{2}(*x +*1)^{2}, which finite differences will be equal (or constant)?CorrectIncorrect - Question 9 of 24
##### 9. Question

1 point(s)Category: A9. An equation for a cubic function with zeros 1, –2, and 3 that passes through the point (2, 12) is

CorrectIncorrect - Question 10 of 24
##### 10. Question

1 point(s)Category: A10. An equation for the graph shown is

CorrectIncorrect - Question 11 of 24
##### 11. Question

1 point(s)Category: A11. Given the function

*y*= –3*x*^{2 }– 5*x*+ 1, the second differences will all equalCorrectIncorrect - Question 12 of 24
##### 12. Question

1 point(s)Category: A12. Which of the following is an even function?

CorrectIncorrect - Question 13 of 24
##### 13. Question

1 point(s)Category: A13. The number of times that the function

*y*= (*x*– 1)^{3 }(*x*+ 2) (*x*– 4)^{2 }changes sign isCorrectIncorrect - Question 14 of 24
##### 14. Question

1 point(s)Category: A14. The function y = (

*x*– 4)^{2}(*x*– 7)(*x*+ 3)^{3 }is negative on the intervalsCorrectIncorrect - Question 15 of 24
##### 15. Question

1 point(s)Category: A15. The number of people,

*P*, at a playground after*t*min is given by*P*=*t*^{3}+ 4*t*+ 20. The average rate of change of the number of people at the playground from 3 min to 4 min isCorrectIncorrect - Question 16 of 24
##### 16. Question

1 point(s)Category: A16. The number of people,

*P*, at a playground after*t*min is given by*P*=*t*^{3}+ 4*t*+ 20. The instantaneous rate of change of the number of people at the playground after 1 min is approximatelyCorrectIncorrect - Question 17 of 24
##### 17. Question

1 point(s)Category: C17. Fill in the blank with the correct word.

The instantaneous rate of change corresponds to the slope of a to a point on a curve.

CorrectIncorrect - Question 18 of 24
##### 18. Question

5 point(s)Category: C18. Match the items in the box with each criterion below by dragging.

##### Sort elements

- quartic
- cubic
- instantaneous rate of change
- average rate of change
- even function

- slope of the tangent
- slope of the secant

Correct 5 / 5 PointsIncorrect / 5 Points - Question 19 of 24
##### 19. Question

1 point(s)Category: C19. Fill in the blank with the correct word.

For the polynomial function

*y*=*x*^{5}– 3*x*^{4}–*x*+ 1, the differences will be constant (equal).

CorrectIncorrect - Question 20 of 24
##### 20. Question

1 point(s)Category: C20. Odd-degree polynomials have at least one

*x-*intercept.CorrectIncorrect - Question 21 of 24
##### 21. Question

1 point(s)Category: T21. Determine an equation for the quartic polynomial function represented by the table of values.

CorrectIncorrect - Question 22 of 24
##### 22. Question

2 point(s)Category: T22. An equation for a quintic function with zeros 1, 0, and 2 that passes through the point (–1, 24) is

CorrectIncorrect - Question 23 of 24
##### 23. Question

2 point(s)Category: T23. Determine algebraically whether the function is even, odd, or neither.

\(\: g(x) = -2\left(4+x \right)\left(4-x \right)\left(x+5 \right)\left(5-x\right) \)

CorrectIncorrect - Question 24 of 24
##### 24. Question

3 point(s)Category: T24. A point P(a, b) transforms into Q(-3, 13) while

*y = f(x)*transforms into*y = -2f(-3x + 4) + 5*. State the mapping rule and find the values of*a*and*b*.CorrectIncorrect