Pre-Calculus Semester 1 Epic Battle Round 1

Find the average rate of change between the two points marked on the graph.

• $\frac{11}{6}$

• $\frac{6}{11}$

• $\frac{1}{2}$

• 2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Write and equation for the graph of g(x).

• $g\left(x\right)=-\left(x-2\right)^2-1$

• $g\left(x\right)=-\sqrt{x-2}-1$

• $g\left(x\right)=-\frac{3}{4}\left(x-2\right)^2-1$

• $g\left(x\right)=-\frac{3}{4}\sqrt{x-2}-1$

Tags

CCSS.HSF-IF.C.7B

Which of the following expressions is equal to

 $\log\left(6x^2y^3\right)$  ?

•  $2\log\left(6xy\right)+\log\left(y\right)$  

•  $2\log\left(3x\right)+\log\left(2y^4\right)-\log\left(3y\right)$  

•  $3\log\left(2xy\right)-\log\left(x\right)$  

•  $3\log\left(2y\right)+2\log\left(x\right)$  

The expression $\frac{\sqrt{4x^3}}{\left(16x^3\right)^{\frac{1}{4}}}$  

•  $x^{\frac{3}{4}}$  

•  $x^4$  

•  $x^{\frac{2}{3}}$  

•  $\sqrt{x}$  

Use the diagram of f(x)  to find f(-3)

• -1

• 3

• 6

• undefined

Tags

CCSS.HSF.IF.A.2

Which domain belongs with the red (left) function in the diagram?

• $\left(-2,\infty\right)$

• $\left(\infty,-2\right)$

• $\left(-\infty,-2\right)$

• $\left(-2,-\infty\right)$

Tags

CCSS.HSF-IF.C.7B

Which equation represents the polynomial pictured?

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

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

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

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

Tags

CCSS.HSA.APR.B.3

 $f\left(x\right)=3x^5-3x^3+9x^2-6$  

Choose the correct end behavior of the function above.

•  $as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty\ \ \ \ \ \ as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$  

•  $as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty\ \ \ \ \ \ as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$  

•  $as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty\ \ \ \ \ \ as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$  

•  $as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty\ \ \ \ \ \ as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$  

 $f\left(x\right)=x^3+2x^2+9x+18$  

Find the roots of the function above.

•  $2,3i,-3i$  

•  $-2,3i,-3i$  

•  $2,9i,-9i$  

•  $-2,9i,-9i$  

 $f\left(x\right)=\frac{x^2}{x+5}$  

Which of the following statements is true about the graph of f(x)?

• There is no vertical asymptote.

• There is a horizontal asymptote but no vertical asymptote.

• There is a vertical asymptote and an x-intercept.

• There is a vertical asymptote and a horizontal asymptote.

Tags

CCSS.HSF-IF.C.7D