Assessing Knowledge from Unit 1 - AP Pre-Calculus

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

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

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.'

• 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

For the following polynomials match them to their correct degree.

Groups:

(a) Degree 4

,

(b) Degree 2

,

(c) Degree 3

Tags

CCSS.HSA.APR.A.1

Which graph represents the following function:

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

• 
• 
• 
• 

Tags

CCSS.HSA.APR.B.3

Which graph has 3 zeros and two local extrema?

(multiple answers)

• 
• 
• 
• 
• 

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

• -1

• 0

• 1

• Undefined

Answer explanation

The average rate of change over the closed interval of the function is the slope of the secant line from the point (-3,3) to the point (3,3)

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Match the following End Behavior to their Graphs

• Degree is Odd, Leading Coefficient is Negative

• 
• Degree is Odd, Leading Coefficient is Positive

• 
• Degree is Even, Leading Coefficient is Positive

• 
• Degree is Even, Leading Coefficient is Negative

• 

Tags

CCSS.HSA.APR.B.3

Match the following End Behavior to their Graphs

• Degree is Even, Leading Coefficient is Positive

• 
• Degree is Even, Leading Coefficient is Negative

• 
• Degree is Odd, Leading Coefficient is Positive

• 
• Degree is Odd, Leading Coefficient is Negative

• 

Tags

CCSS.HSA.APR.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7