For the polynomial function $$h$$ , $$\lim_{x\rightarrow-\infty}h\left(x\right)=\infty$$ and $$\lim_{x\rightarrow\infty}h\left(x\right)=\infty$$ . Which of the following is true about $$h.$$

The degree of h is even, and the leading coefficient is positive.

The degree of h is odd, and the leading coefficient is positive.

The degree of h is odd, and the leading coefficient is negative.

The degree of h is even, and the leading coefficient is negative.

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Math

Calculus

Ap Pre Calculus Quiz 1

AP Pre-Calculus Quiz 1

Authored by Ty Martinez

Mathematics

12th Grade

CCSS covered

Used 10+ times

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MATCH QUESTION

5 mins • 1 pt

Match the functions with the correct description.

Has a ROC is negative and CC down

Has a ROC is positive and CC up

Has a ROC is positive and CC down

Has a ROC is negative and CC up

CATEGORIZE QUESTION

5 mins • 1 pt

Determine where each scenario has a positive rate of change or a negative rate of change

Groups:

(a) Positive rate of Change

(b) Negative rate of Change

A child's age versus their height

A golfer's skill versus the golfer's score

The number years since 2000 vs the number of Tesla's on the road

Number of miles driven since last filling up vs the amount of gas left in the tank

A plant's growth over time

Number of days since the flu season began vs number of people who caught the flu

The height from the ground of a coin dropped off a building vs the speed it falls

Tags

CCSS.HSF-LE.A.1B

OPEN ENDED QUESTION

5 mins • 1 pt

Write the equation of the line with the slope -1.57 and passing through the point (21,37)

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MATH RESPONSE QUESTION

5 mins • 1 pt

For
$f\left(3\right)=17\ and\ f\left(10\right)=11$
Find the average rate of change of f(x) on the interval [3,10]. Write your answer as a decimal approximation.

$-\frac{6}{7}$

Mathematical Equivalence

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Select the true statements of the following polynomial:
$f\left(x\right)=4\left(x+3\right)^2\left(x-1\right)$

Degree: 3

Zeros: x = -3 (mult. 2)

x = 1 (mult. 1)

Degree: 2

Zeros: x = -3 (mult. 2)

x = 1 (mult. 1)

Degree: 3

Zeros: x = -3 (mult. 1)

x = 1 (mult. 1)

Degree: 3

Zeros: x = 3 (mult. 2)

x = -1 (mult. 1)

Tags

CCSS.HSF-IF.C.7C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Select the true statements of the following polynomial:
$g\left(x\right)=-2x\left(x-5\right)^3\left(x+1\right)^2$

Degree: 6

Zeros: x = 0 (mult. 1)

x = 5 (mult. 3)

x = -1 (mult. 2)

Degree: 5

Zeros: x = 0 (mult. 1)

x = 5 (mult. 3)

x = -1 (mult. 2)

Degree: 6

Zeros: x = 0 (mult. 1)

x = 5 (mult. 1)

x = -1 (mult. 1)

Degree: 6

Zeros: x = 0 (mult. 1)

x = -5 (mult. 3)

x = 1 (mult. 2)

Tags

CCSS.HSF-IF.C.7C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given the complex zero of the polynomial, what is its conjugate:
$x=-1-i$

$x=-1-i$

$x=-1+i$

$x=1-i$

$x=1+i$

Tags

CCSS.HSN.CN.A.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given the complex zero of the polynomial, what is its conjugate:
$x=4i$

$x=-4i$

$x=4i$

$x=4$

$x=1+4i$

Tags

CCSS.HSN.CN.A.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the end behavior that matches the following polynomial:
$f\left(x\right)=4x^5$

Left: $-\infty$

Right: $\infty$

Left: $-\infty$

Right: $-\infty$

Left: $\infty$

Right: $\infty$

Left: $\infty$

Right: $-\infty$

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the end behavior that matches the following polynomial:
$f\left(x\right)=\frac{1}{2}x^4$

Left: $-\infty$

Right: $\infty$

Left: $-\infty$

Right: $-\infty$

Left: $\infty$

Right: $\infty$

Left: $\infty$

Right: $-\infty$

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AP Pre-Calculus Quiz 1

Match the functions with the correct description.

Determine where each scenario has a positive rate of change or a negative rate of change

Write the equation of the line with the slope -1.57 and passing through the point (21,37)

For f(3)=17 and f(10)=11f\left(3\right)=17\ and\ f\left(10\right)=11f(3)=17 and f(10)=11 Find the average rate of change of f(x) on the interval [3,10]. Write your answer as a decimal approximation.

Select the true statements of the following polynomial: f(x)=4(x+3)2(x−1)f\left(x\right)=4\left(x+3\right)^2\left(x-1\right)f(x)=4(x+3)2(x−1)

Select the true statements of the following polynomial: g(x)=−2x(x−5)3(x+1)2g\left(x\right)=-2x\left(x-5\right)^3\left(x+1\right)^2g(x)=−2x(x−5)3(x+1)2

Given the complex zero of the polynomial, what is its conjugate: x=−1−ix=-1-ix=−1−i

Given the complex zero of the polynomial, what is its conjugate: x=4ix=4ix=4i

Find the end behavior that matches the following polynomial: f(x)=4x5f\left(x\right)=4x^5f(x)=4x5

Find the end behavior that matches the following polynomial: f(x)=12x4f\left(x\right)=\frac{1}{2}x^4f(x)=21​x4

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

For
$f\left(3\right)=17\ and\ f\left(10\right)=11$
Find the average rate of change of f(x) on the interval [3,10]. Write your answer as a decimal approximation.

Select the true statements of the following polynomial:
$f\left(x\right)=4\left(x+3\right)^2\left(x-1\right)$

Select the true statements of the following polynomial:
$g\left(x\right)=-2x\left(x-5\right)^3\left(x+1\right)^2$

Given the complex zero of the polynomial, what is its conjugate:
$x=-1-i$

Given the complex zero of the polynomial, what is its conjugate:
$x=4i$

Find the end behavior that matches the following polynomial:
$f\left(x\right)=4x^5$

Find the end behavior that matches the following polynomial:
$f\left(x\right)=\frac{1}{2}x^4$