AP Calculus AB Mixed Review quiz 1

Find the limit as x approaches 1⁺

• 1

• -1

• -3

• Infinity

• DNE

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Find the value for that makes f(x) continuous.

• 0

• 1

• 1.5

• 2

• No such value exists

Tags

CCSS.HSF-IF.C.7B

What is the limit?

• DNE
• 2/3
• 1/4
• Infinity

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing
• The concavity of the function is up
• The concavity of the function is down

Tags

CCSS.HSF.IF.B.4

The acceleration function is the first derivative of...

• position
• velocity
• calculus
• particle motion

• Mean value theorem
• Instantaneous Rate of Change
• Intermediate Value Theorem
• Fundamental Theorem of Calculus

Tags

CCSS.HSF.IF.B.6

Let f be the function defined by f(x)=4x³-10x+5. Find the equation of the tangent line to the graph of f at the point where x = 1

• y+1=2(x-1)

• y-1=2(x-1)

• y+1=2(x+1)

• y+1=-2(x-1)

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If g is the inverse function of F and f(2)=3, find the value of g'(3) for F(x)=6x²+2x-1

• 1/24

• 1/25

• 1/26

• 26

Tags

CCSS.HSF-BF.B.4C

what is the average rate of change of the function f(x)=x²-6x+6 from 2 to 6?

• 4

• 2

• 3

• 23/4

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

A particle moves along the x-axis with velocity at time x>0 and the function is v(x)=x²+6x+3, is the speed of the particle increasing at x=4?

• No because both velocity and acceleration at x=4 is positive

• Yes because both velocity and acceleration at x=4 is positive

• No because both velocity and acceleration at x=4 is negative

• Yes because both velocity and acceleration at x=5 is positive

Tags

CCSS.HSA.SSE.A.1