Polynomial Functions

Which of the following is not a polynomial function?

• f(x) = x

• $f\left(x\right)\ =\ 3x^2\ -\ 2x\ +\ 1.75$
  

• $g\left(x\right)\ =\ \frac{-3x^7}{19}\ +\ 36x$

• $f\left(x\right)\ =\ \left|x-4\right|$

If the number of maximum and minimums combined for a polynomial function is 4, which of the following cannot be the degree of the function?

• 4

• 5

• 6

• 17

If a 5th degree polynomial has 3 real zeros, how many imaginary roots does the polynomial have?

• 0

• 1

• 2

• 3

Tags

CCSS.HSN.CN.C.9

Which of the following is not true about polynomial functions?

• All graphs are continuous.

• All graphs cross the x-axis at least once.

• All graphs have smooth curves.

• All graphs have end behavior that goes to positive or negative infinity.

How many solutions does the following function have?

 $g\left(x\right)\ =\ 4x^2\ -\ 5x^4\ +\ 13x\ -\ 7$  

• 1

• 2

• 3

• 4

If a polynomial has left hand behavior to negative infinity, and right hand behavior to positive infinity, which of the following is true about the function?

• It has an even degree and a positive leading coefficient.

• It has an odd degree and a positive leading coefficient.

• It has an even degree and a negative leading coefficient.

• It has an odd degree and a negative leading coefficient.

Which of the following is not a zero of the function,

 $g\left(x\right)\ =\ x^3+9x$  

• -3

• 0

• 3i

• -3i

Tags

CCSS.HSF-IF.C.7C

What is the vertex of the following function?

 $h\left(x\right)\ =\ -4\left(x-2\right)^2+5$  

• (-2,5)

• (5,-2)

• (2,5)

• (5,2)

Graphically, what occurs at a double root, if the root is a real number?

• It passes through the origin.

• It passes from one side of the x-axis to the other side.

• It doesn't touch or cross the x-axis

• It is tangent to the x-axis.

Which of the following functions has no real zeros?

• $f\left(x\right)\ =\ x^2$

• $g\left(x\right)\ =\ x^2+9$

• $h\left(x\right)\ =\ x^2-9$

• $p\left(x\right)\ =\ -x^2+9$

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A