Summative Test

What should n be if f(x)= axⁿ defines a polynomial function?

• A. an integer

• B. a nonnegative integer

• C. any number

• D. any number except 0

Which of the following is an example of polynomial function?

• $A.\ f\left(x\right)\ =\ \frac{4}{x^3}+\ 3x\ -\ 1$

• $B.\ f\left(x\right)\ =\ 2x^{\frac{3}{2}}-\ \frac{3}{2}x^2$

• 
  

  $C.\ f\left(x\right)\ =\ \sqrt{7}x\ -2x$

• $D.\ f\left(x\right)\ =\ x^3\ +\ \sqrt{3x}-\ 5$

What is the leading coefficient of the polynomial function f(x) = x – 2x³ – 4?

• A. -4

• B. -2

• C. 1

• D. 3

Given the polynomial function below, what should be assigned to n to make it a polynomial function of degree 7?  

 $f\left(x\right)\ =\ 7x^{-4n}\ +\ x^2$  

•  $A.\ -\frac{7}{4}$  

•  $B.\ -\frac{4}{7}$  

•  $C.\ 4$  

•  $D.\ 7$  

How should the polynomial function f(x) = 1/2 x – x²+ 11x⁴ + 2x³ be written in standard form?

• A. f(x) = 11x⁴ + 2x³ + 1/2 x – x²

• B. f(x) = 11x⁴ + 2x³ – x² + 1/2 x

• C. f(x) = – x² + 1/2 x + 2x³ + 11x⁴

• D. f(x) = 1/2 x – x² + 2x³ + 11x⁴

What is the leading term of the polynomial function f(x) = 2x + x³ – 3x⁵ + 4?

• A. 2x

• B. x³

• C. – 3x⁵

• D. 4

What is the degree of the polynomial function f(x) = 2x + x³ – 3x⁵ + 4??

• A. 0

• B. 1

• C. 3

• D. 5

If you are to sketch the graph of polynomial function f(x) = 2x + x³ – 3x⁵ + 4, how will its graph behave?

• A. rising, rising

• B. falling, falling

• C. rising, falling

• D. falling, rising

If the polynomial function is in factored form, the sketch of the graph with respect to the x-axis depends on the exponent of each factor. It crosses the x-axis at its root when the exponent is odd, and it is tangent to x-axis at its root when the exponent is even.

• A. True

• B. False

• C. Either true or false

• D. Neither true nor false

If the leading coefficient is greater than 0 and the degree of the polynomial function is odd, the end behavior of the graph is:

• A. rising, rising

• B. falling, falling

• C. rising, falling

• D. falling, rising