To review positive and negative intervals, watch this video.
For other features, see the videos in Canvas.
To review end behavior, watch this video.
To review positive and negative intervals, watch this video.
For other features, see the videos in Canvas.
Question 1
1.
For interval notation, we use parenthesis when __________;.
We use brackets when __________.
The first number is the __________.
The second number is the __________.
1
1
1
1
1
1
1
1
1
1
1
1
Question 14
14.
Categorize the functions according to their end behavior as x approaches negative infinity.
Use the chart in your notes. This question will only turn green when everything is in the right place.
f(x) = x2 + 3x -5
f(x) = -x
Question 15
15.
REVIEW:
Write (x + 5)^{2} - (x^{2} + 2x - 3) in standard form.
No spaces.
Question 16
16.
REVIEW:
Write (3mn^{3})^{2} - 2m^{2}n^{6} + m^{2}n^{5} in standard form.
No spaces.
Question 17
17.
REVIEW
Write \frac{2a^2b + 6ab^{2} - 10a^{5}}{2ab} in standard form.
No spaces.
Question 2
2.
As x\rightarrow \infty, f(x) \rightarrow __________. As x\rightarrow -\infty, f(x) \rightarrow __________. This polynomial has __________ degree. The sign of the leading coefficient is __________.
Question 3
3.
As x\rightarrow \infty, f(x) \rightarrow __________. As x\rightarrow -\infty, f(x) \rightarrow __________. This polynomial has __________ degree. The sign of the leading coefficient is __________.
Question 4
4.
14th degree with positive leading coefficient.
Select two, one for each end.
Question 5
5.
9th degree with negative leading coefficient.
Select two, one for each end.
Question 6
6.
What is the domain?
Use interval notation, (#, #) with one space after the comma. For \infty, copy/paste from this question.
Question 7
7.
What is the range?
Use interval notation, (#, #) with one space after the comma. For \infty, copy/paste from this question.
Question 8
8.
Relative maximum?
Use (x, y) format, with exactly one space after the comma. Round to the nearest hundredth (2 decimal places).
Question 9
9.
Relative minimum?
Use (x, y) format, with exactly one space after the comma. Round to the nearest hundredth (2 decimal places).
Question 10
10.
As x approaches infinity, f(x) approaches what value?
Question 11
11.
As x approaches negative infinity, f(x) approaches what value?
Question 12
12.
On what interval is the function increasing?
Use (x1, x2) format, with exactly one space after the comma. Round any decimals to the nearest hundredth (2 decimal places).
Question 13
13.
On what interval(s) is the function decreasing? You may list either interval, but not both.
Use (x1, x2) format, with exactly one space after the comma. Round any decimals to the nearest hundredth.
f(x) = x3
A polynomial of degree 6 with positive leading coefficent.
A polynomial of degree 181 with positive leading coefficient.
A polynomial of odd degree with negative leading coefficient.
