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Mathematics
10th -
12thgrade
Polynomial Functions - End Behavior, Degree, Min & Max
16 questions
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- 1. Multiple Choice
The end behavior of the graph is x →∞, f(x)→∞ and x→∞, f(x)→⁻∞
The end behavior of the graph is x →∞, f(x)→∞ and x→⁻∞, f(x)→∞
The end behavior of the graph is x →∞, f(x)→∞ and x→⁻∞, f(x)→∞
The end behavior of the graph is x →∞,f(x)→⁻∞ and x→∞, f(x)→⁻∞
- 2. Multiple Choice
The end behavior of the graph is x →∞, f(x)→∞ and x→∞, f(x)→⁻∞
The end behavior of the graph is x →∞, f(x)→∞ and x→⁻∞, f(x)→∞
The end behavior of the graph is x →∞, f(x)→∞ and x→⁻∞, f(x)→0
The end behavior of the graph is x →∞,f(x)→∞and x→⁻∞, f(x)→⁻∞
- 3. Multiple Choice
Function: f(x) = -3x4 +2x2 - 8x + 9.
As x approaches infinity, what does f(x) approach?
infinity
negative infinity
0
-3
- 4. Multiple ChoiceWhich equation MOST LIKELY matches the graph?y = x4 - x3 + 3x2 + 2y = -x4 + x3 + 5x + 2y = x3 - 2x2 + 1x + 3y = -x3 - 2x2 + 1x + 3
- 5. Multiple Choice
Does the following graph have an odd or even degree?
Odd
Even
- 6. Multiple Choice
Which of the following helps determine end behavior? (select ALL that apply)
The leading coefficient
The number of terms in the function
The y-intercept
The x-intercepts
Degree (even or odd)
- 7. Multiple Choice
Which function has this end behavior?
-1x4 - 3x3 + 3
-2x7 + 2x4 + 4
3x8 + 3x5 - 4x + 7
- 8. Multiple ChoiceBased on the end behavior of the polynomial, what best describes the leading coefficient?a negative real numbera positive real numberan even real numberan odd real number
- 9. Multiple ChoiceBased on the end behavior which option best describes the leading term?negative coefficient, even degreenegative coefficient, odd degreenegative degree, odd coefficientnegative degree, even coefficient
- 10. Multiple ChoiceWhat is the end behavior as x → -∞ f(x)→ ?-∞∞
- 11. Multiple Choice
Given the graph, which points are relative maxima? Select ALL that apply
(-6, -7)
(-3, 7)
(0, -10)
(3, 4)
(6, -4)
- 12. Multiple Choice
True or False? The absolute minimum is (2, -6)
True
False
- 13. Fill in the Blank
What is the ordered pair for the relative minimum? Write as (x, y)
- 14. Multiple Choice
How many relative maxima does the function have?
1
2
3
None
- 15. Multiple Choice
What is the absolute maximum of the function?
(-3, 7)
(3, 4)
(0, -10)
There isn't one
- 16. Multiple Choice
What is the absolute minimum for the function?
(0, -10)
(-4, 7)
There isn't one
(6, -4)
- Answer choicesTagsAnswer choicesTags