Polynomial: Is It or Isn't It?
Degree and L.C.
Evaluate
End Behavior
Describing Intervals
100

Which part of f(x) = 2x3 + x-3 - 2 makes this NOT a polynomial function?

x-3, polynomial cannot have a negative exponent on the variable x.

100

Which part of a polynomial function that you look at to determine the degree of the polynomial?

The highest power or exponent of x

100

Evaluate f(x) = x3 when x = 3

27

100
The sideways figure eight symbol that represents the biggest or smallest value on a number scale is called this.
What is infinity?
100
If all the x-values in your interval appear to the left of the number 2, then x is ____ than 2.
What is less than?
200

When we write the following function in Standard form. Which term should be the leading/first term? 

f(x) = 5 - 6x4 - 7x8 + 12x2 - 3x

-7x8

200

What is the degree of a linear function?

Degree of 1

200

Evaluate f(x) = x5 when x = -2.

-32

200
The two parts of a polynomial function that you look at in order to determine the end behavior.
What are the degree and leading coefficient?
200
All of the x-values for an interval lie to the right of 6. This makes x ____ than 6.
What is greater than?
300

Which part of this function makes it NOT a polynomial function: 

f(x) = 1/2 x2 - 3/x + 7 ?

-3/x

300

Which type of polynomial is a 2nd-degree polynomial function? 

Then, provide an example.

Quadratic Function.

Example could be f(x) = x2 + x - 1

300

Evaluate f(x) = x3 - 2x2 -3x - 6 when x = 2

What is -12?

300
The arrow stands for this in end behavior descriptions.
What is approaches?
300

These are the four trends you identify intervals for when you describe the behavior of a polynomial.

What are increasing, decreasing, positive, and negative?

400

The powers on the x-values all need to be __________ for the function to be a polynomial function.

Positive integers zero and above

400

the degree and type of the function 

f(x) = 12 + 8x3 + x2 - 7x

Third Degree and Cubic Function

400

Evaluate f(x) = x^3 - 2x^2 - 3x - 6 at x = -2

What is -16?

400
If a polynomial function has an even degree and a positive leading coefficient, both the left and right ends of the function approach this.
What is positive infinity?
400
When the x values fall within an interval that lies between -2 and 5, you write the interval this way.
What is -2
500

When is a square root sign OK in a polynomial function?

When the x is outside of it, not under it.

500

the leading coefficient for the function f(x) = 6x - 3x2 - 12x3 +18

-12

500
Evaluate f(x) = -2x^4 + 3x^3 - 4x^2 + 6x at x = -1
What is -15?
500
The degree and leading coefficient for a polynomial when f(x) -> - infinity as x -> - infinity and f(x) -> + infinity as x -> + infinity
What is odd degree and positive leading coefficient?
500

A function curves down and touches the x-axis exactly then curves back up again. This is the reason you would have to describe two different intervals on either side of that point, even though all the points around it are positive.

What is because zero is neither negative nor positive?

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