Topic 3 - Polynomial Functions
Authored by CJ Jung
Mathematics
9th - 12th Grade
CCSS covered
Used 10+ times
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20 questions
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1.
MULTIPLE SELECT QUESTION
45 sec • 1 pt
Use the leading coefficient and degree of the polynomial function f(x) = x3 − 7x2 + 10x to determine the end behavior of its graph. Select all the true statements.
As x → ∞ , y → ∞ .
As x → ∞ , y → −∞ .
As x → ∞ , y → 0 .
As x → −∞ , y → ∞ .
As x → −∞ , y → −∞ .
2.
MULTIPLE SELECT QUESTION
45 sec • 1 pt
The graph of a function f is shown. Use the graph to estimate all turning points. Select all x -values that are turning points of f .
-3
0
-1.5
1
1.5
3.
DRAG AND DROP QUESTION
1 min • 1 pt
Use the graph of the polynomial function f(x) = − x3 + 5x2 − 2x − 8 to complete the sentences.
f is (a) on the intervals (-∞, 1/3) and (3, ∞).
f is (b) on the intervals (-1, 2) and (4, ∞).
f is (c) on the intervals (1/3, 3).
f is (d) on the intervals (-∞, -1) and (2, 4).
4.
MATH RESPONSE QUESTION
2 mins • 1 pt
Add (4a2b − 3ab2 + 2ab + 5) and (2a2b + 3ab2 − 7ab) . Complete the expression in standard form.
Mathematical Equivalence
ON
Tags
CCSS.HSA.APR.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Multiply (x + 2y)( x2 − xy + 3y) .
x3 + x2y + 3xy − 2xy2 + 6y2
x3 − 3x2y + 3xy − 2xy2 + 6y2
x3 + 3xy − xy2 + 3y2
x3 − 3xy + 6y2
Tags
CCSS.HSA.APR.A.1
6.
DRAG AND DROP QUESTION
1 min • 1 pt
Jae is constructing an open box from a piece of cardboard that is 9 in. wide and 12 in. long. Jae cuts squares of equal size from each corner of the cardboard, and then folds up the sides of the box. Write and simplify a polynomial function V in standard form for the volume of the box in terms of x . (ASK HELP)
V(x) = (a) x3 - (b) x2 + (c) x
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Use Dfiference of Squares to multiply (5 − 4x3 )(5 + 4x3) .
25 − 4x9
25 − 40x3 + 16x6
25 − 4x6
25 − 16x6
Tags
CCSS.HSA.APR.A.1
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