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.SSE.A.2

CCSS.HSA.SSE.B.3

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.HSA.APR.B.3

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

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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.HSF.IF.B.6

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

Match the following End Behavior to their Graphs

• Degree is Odd, Leading Coefficient is Positive

• 
• Degree is Even, Leading Coefficient is Negative

• 
• Degree is Even, 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