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Assessing Knowledge from Unit 1 - AP Pre-Calculus

Authored by Ty Martinez

Mathematics

12th Grade

CCSS covered

Used 12+ times

Assessing Knowledge from Unit 1 - AP Pre-Calculus
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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equivalent form to the following function:

x2+x−12x^2+x-12

(x+4)(x−3)\left(x+4\right)\left(x-3\right)

(x−4)(x+3)\left(x-4\right)\left(x+3\right)

(x+4)(x+3)\left(x+4\right)\left(x+3\right)

(x−4)(x−3)\left(x-4\right)\left(x-3\right)

Answer explanation

To factor the quadratic function x^2 + x - 12, we look for two numbers that multiply to -12 and add to 1. The numbers 4 and -3 fit this, leading to the factors (x + 4)(x - 3), which is the correct choice.

Tags

CCSS.HSA.APR.C.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

What is this question asking for?

To find the zeros for r(x)

To find the end behavior for r(x)

To find the limits for r(x)

To find the holes for r(x)

Answer explanation

The expression r(x)=0 in other words is asking "When does r of x equal to 0" so therefore the question is asking to find the zeros for r(x)

Tags

CCSS.HSF-IF.C.7D

3.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

If the degree of the polynomial f(x) is odd and the leading coefficient is positive. Which are the true statements.

(Multiple correct answers)

As x increases without bound, f(x) increases without bound.

As x decreases without bound, f(x) increases without bound.

As x decreases without bound, f(x) decreases without bound.

As x increases without bound, f(x) decreases without bound.

Answer explanation

For an odd-degree polynomial with a positive leading coefficient, as x increases, f(x) increases without bound, and as x decreases, f(x) decreases without bound. Thus, the correct statements are: 'As x increases without bound, f(x) increases without bound' and 'As x decreases without bound, f(x) decreases without bound.'

4.

DRAG AND DROP QUESTION

1 min • 1 pt

x2 −4x−5=x^{2\ }-4x-5= (x+​ (a)   )(x - ​ (b)   )

1

5

-5

-1

4

3

Answer explanation

To factor the quadratic x² - 4x - 5, we look for two numbers that multiply to -5 and add to -4. The numbers 1 and -5 fit this, so the factored form is (x + 1)(x - 5). Thus, the blanks are 1 and 5.

Tags

CCSS.HSA.REI.B.4

5.

CATEGORIZE QUESTION

3 mins • 1 pt

For the following polynomials match them to their correct degree.

Groups:

(a) Degree 4

,

(b) Degree 2

,

(c) Degree 3

x2+2x3−2x4x^2+2x^3-2x^4  

(x3+2x)x\left(x^3+2x\right)x  

(x−3)(x+4)\left(x-3\right)\left(x+4\right)  

2−2x+2x22-2x+2x^2  

(x−3)(x2+2x+3)\left(x-3\right)\left(x^2+2x+3\right)  

(x−3)(x+3)(x−4)\left(x-3\right)\left(x+3\right)\left(x-4\right)  

Tags

CCSS.HSA.APR.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which graph represents the following function:

p(x)=(x+1)(x-3)(x-2)

Media Image

Media Image

Media Image

Media Image

Tags

CCSS.HSA.APR.B.3

7.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Which graph has 3 zeros and two local extrema?

(multiple answers)

Media Image

Media Image

Media Image

Media Image

Media Image

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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