Question 1

Only one function below could make this graph. Choose the correct function.

Accepted Answer

$y=x^4 - 6 x^3 - 3 x^2 + 52 x - 60$

Answer

$y= 2x^3 - 3 x^2 + 52 x - 60$

Answer

$y=-x^4 - 6 x^3 - 3 x^2 + 52 x - 60$

Answer

$y=-x^5 - 6 x^3 - 3 x^2 + 52 x - 60$

Question 2

What do you know for sure about the polynomial function graphed above?

Accepted Answer

The polynomial has an odd degree.

Answer

The polynomial has an even degree.

Answer

The polynomial has a positive leading coefficient.

Answer

The polynomial has an 5 terms.

Question 3

What do you know for sure about the polynomial function graphed above?

Accepted Answer

The polynomial has a negative leading coefficient.

Answer

The polynomial has an even degree.

Answer

The polynomial has an 5 terms.

Answer

The polynomial has a positive leading coefficient.

Question 4

Only one of the functions below could make this graph. Choose the correct function.

Accepted Answer

$f(x)=x^3 - 3 x^2 - 2.25 x + 1.75$

Answer

$f(x)=-x^4 - 3 x^2 - 2.25 x + 1.75$

Answer

$f(x)=-x^3 - 3 x^2 - 2.25 x + 1.75$

Answer

$f(x)=x^4 - 3 x^2 - 2.25 x + 1.75$

Question 5

Describe the end behavior of this polynomial function.

Accepted Answer

As $x \rightarrow \pm\infty$, $y \rightarrow -\infty$

Answer

As $x \rightarrow \infty$, $y \rightarrow -\infty$; as  $x \rightarrow -\infty$, $y \rightarrow \infty$

Answer

As $x \rightarrow \pm\infty$, $y \rightarrow \infty$

Answer

As $x \rightarrow \infty$, $y \rightarrow \infty$; as  $x \rightarrow -\infty$, $y \rightarrow \infty$

Question 6

Describe the end behavior of this polynomial function.

Accepted Answer

As $x \rightarrow \infty$, $y \rightarrow -\infty$; as  $x \rightarrow -\infty$, $y \rightarrow \infty$

Answer

As $x \rightarrow \pm\infty$, $y \rightarrow -\infty$

Answer

As $x \rightarrow \infty$, $y \rightarrow \infty$; as  $x \rightarrow -\infty$, $y \rightarrow -\infty$

Answer

As $x \rightarrow \pm\infty$, $y \rightarrow \infty$

Question 7

Describe the end behavior of this polynomial function.

Accepted Answer

As $x \rightarrow \pm\infty$, $y \rightarrow \infty$

Answer

As $x \rightarrow \pm\infty$, $y \rightarrow -\infty$

Answer

As $x \rightarrow \infty$, $y \rightarrow \infty$; as  $x \rightarrow -\infty$, $y \rightarrow -\infty$

Answer

As $x \rightarrow \infty$, $y \rightarrow -\infty$; as  $x \rightarrow -\infty$, $y \rightarrow \infty$

Question 8

Which function has this end behavior: as $x \rightarrow \infty$, $y \rightarrow -\infty$; as $x \rightarrow -\infty$, $y \rightarrow \infty$

Accepted Answer

$y=-\frac 2 3 x^3+6x-7$

Answer

$y=\frac 2 3 x^5+6x-7$

Answer

$y=\frac 2 3 x^4+6x-7$

Answer

$y=-\frac 2 3 x^2+6x-7$

Question 9

Which function has this end behavior: as $x \rightarrow \pm\infty$, $y \rightarrow \infty$

Accepted Answer

$y=\frac 2 3 x^4+6x-7$

Answer

$y=\frac 2 3 x^5+6x-7$

Answer

$y=-\frac 2 3 x^4+6x-7$

Answer

$y=-\frac 2 3 x^5+6x-7$

Question 10

Which function has this end behavior: as $x \rightarrow \pm\infty$, $y \rightarrow -\infty$

Accepted Answer

$y=-\frac 2 3 x^4+6x-7$

Answer

$y=\frac 2 3 x^5+6x-7$

Answer

$y=-\frac 2 3 x^5+6x-7$

Answer

$y=\frac 2 3 x^4+6x-7$

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