PreCalc 4.1 Practice

Determine if the given function is a polynomial.

 $f\left(x\right)=17x-4x^{-3}+3x^2$  

• Yes

• No

Determine if the given function is a polynomial.

 $f\left(x\right)=\frac{1}{5}-\frac{2}{3}x^4+\frac{7}{9}x^2+\sqrt{7}x$  

• Yes

• No

Classify the given polynomial.

 $f\left(x\right)=18x^3-9x^2$  

• Quadratic Trinomial

• Cubic Trinomial

• Quadratic Binomial

• Cubic Binomial 

Identify the y-intercept of the given polynomial.

 $f\left(x\right)=15x^4-7x^2-9$  

• (-9, 0)

• (0, -9)

• (9, 0)

• (0, 9)

Identify the end behavior of the given polynomial.

 $f\left(x\right)=-7x^6+8x^4+6x^2-19$  

•  $as\ x\rightarrow-\infty,\ y\ \rightarrow\infty$   $as\ x\rightarrow\infty,\ y\rightarrow\infty\$  

•  $as\ x\rightarrow-\infty,\ y\rightarrow-\infty$   $as\ x\rightarrow\infty,\ y\rightarrow-\infty\ \$  

•  $as\ x\rightarrow-\infty,\ y\rightarrow\infty$   $as\ x\rightarrow\infty,\ y\rightarrow-\infty\ \$  

•  $as\ x\rightarrow-\infty,\ y\rightarrow-\infty$   $as\ x\rightarrow\infty,\ y\rightarrow\infty\ \$  

Match the given graph to the polynomial functions below.  

•  $f\left(x\right)=\frac{1}{30}\left(x+3\right)\left(x-2\right)^2\left(x-5\right)$  

•  $f\left(x\right)=\frac{1}{30}\left(x-3\right)\left(x+2\right)^2\left(x+5\right)$  

•  $f\left(x\right)=\frac{1}{30}\left(x-3\right)^2\left(x+2\right)\left(x+5\right)^2$  

•  $f\left(x\right)=\frac{1}{30}\left(x+3\right)^2\left(x-2\right)\left(x-5\right)^2$  

Describe the leading coefficient and degree of the given graph.

• Negative LC, even degree

• Negative LC, odd degree

• Positive LC, even degree

• Positive LC, odd degree

Which graph has a negative leading coefficient and an even degree?

• A

• B

• C

• D

Which polynomial function matches the given graph?

• $f\left(x\right)=x^3+x^2-2x$

• $f\left(x\right)=x^3-x^2+2x$

• $f\left(x\right)=-x^3-x^2+2x$

• $f\left(x\right)=-x^3+x^2-2x$

What does it indicate about a polynomial function if the graph "bounces" off of the x-axis at a given zero?

• That zero has an odd multiplicity

• That zero has an even multiplicity

• The function has an odd degree

• The function has an even degree