Polynomial Functions
How many terms in a polynomial function?
4+
If the ends of a graph are going in opposite directions, what is the domain and range of the function?
Domain: all real numbers
Range: all real numbers
Determine if the function is a polynomial. If it is, state the degree.
5m2n+2m3n2-4mn
Yes
Degree: 5
If you have a negative exponent in a function, where does it get moved to so it becomes positive?
To the denominator
How old is Miss Axtell's dog?
4-years-old
What is the degree and leading coefficient on the following polynomial:
4x2-8x3+9x5-x+3x4
Degree: 5
Leading Co: 9
Determine the location of the zeros in the function by using a table.
f(x)=x2−4x+2
Between x=0 & x=1
Between x=3 & x=4
Add or subtract. Give your answer in simplest form.
(3k2+2k–3) + (–2k2+8k+11)
k2+10k+8
Divide
14g3+21g2−7g÷7g
2g2+3g−1
What year did Miss Axtell graduate high school?
2017
What is the end behavior of the following function:
−10x6
As x approaches negative infinity, f(x) approaches negative infinity.
As x approaches positive infinity, f(x) approaches negative infinity.
How many extrema (max/mins) would the following graph have:
2x4-3x2+x+4
3
Add or subtract. Give your answer in simplest form.
(–4g2+7g+8) – (3g3–4g–5)
-3g3-4g2+11g+13
Divide
(24c5d−8cd2+12c3d3)÷(4cd)
6c4+3c2d2−2d
How many bedroom(s) and bathroom(s) will Miss Axtell's house be?
3 bedrooms
2 bathrooms
What is the domain and range of the following function:
3x9
Domain: all real numbers
Range: all real numbers
Graph the function and give an estimate on the location of the maximum and minimum (least to greatest). Round to the nearest whole number.
f(x)=2x3+10x2+x−2
Max: -3
Min: 0
Multiply
(2x3+4x2–5)(x3+2x+1)
2x6+4x5+4x4+5x3+4x2–10x – 5
Divide
(2z2−11z+21)÷(z−2)
2z−7+7/z−2
What state is Miss Axtell's younger sister currently attending college?
Arizona
How many zeros does the following function have:
−4x3−7x2+9x+3
3
In the following function, state the range (least to greatest) at which the relative maximum and relative minimum occur.
f(x)=−2x3+x2+10x−5
Max: between x=1 & x=2
Min: between x=-2 & x=-1
Multiply
(2a+3)(a–4)(a–8)
2a3–21a2+28a+96
Divide
(2t2−13t−25)(t−8)−1
2t+3−1/t−8
In what month will Miss Axtell become an aunt?
January