Calc Intro Review

Identify the type of location of the discontinuity/discontinuities.

• Infinite at x = 4

• The function is continuous

• Removable at x = 4

• Jump at x = 4

Tags

CCSS.HSF-IF.C.7D

Name the discontinuity at x=2. 

• Infinite Discontinuity
• Removable Discontinuity
• Jump Discontinuity
• Continuous at x=2

Tags

CCSS.HSF-IF.C.7D

Name the discontinuity at x=2. 

• Infinite Discontinuity
• Removable Discontinuity
• Jump Discontinuity
• Continuous at x=2

Tags

CCSS.HSA.APR.D.7

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the derivative of the given equation
f(x) = x⁴ + 4x³ - 2x²

• x³ + x² - x
• 4x³ + 12x² + 4x
• 4x + 12x - 4x
• 4x³ + 12x² - 4x

Tags

CCSS.HSA.APR.A.1

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

Find the derivative of the given equation
f(x) = -4x

• 4
• x
• -4
• 0

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Tags

CCSS.HSA.APR.A.1

Find the general antiderivative of

x²

• (1/3)x³+C

• 3x³+C

• (1/3)x³

• 2x

Find the antiderivative of

4x-7

• 4

• 2x²-7x+C

• (1/2)x²-7x+C

• 8x²

What is an antiderivative?

• The opposite of a derivative
• The same as a derivative
• A second derivative
• It always represents velocity.