AROC, Secant lines, Tangent Lines in Calculus

When you find the average rate of change over an interval, you are finding the slope of the _________________line on that interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

When you are finding the instantaneous rate of change at a single point, you are finding the slope of the _____________ line at that point.

Tags

CCSS.HSF-LE.A.1B

Find the average rate of change of Pete's height from 3 years old to 5 years old.

• 2 inches per year
• 8 inches per year
• 2 years
• 4 inches per year

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The average rate of change on an interval is the...

• slope of the secant line on that interval

• slope of the tangent line on that interval

• slope of the cosecant line on that interval

• slope of the normal line on that interval

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

If the slope of the tangent line is 0, what does that mean with about the graph of the tangent line?

• Tangent line is vertical

• Tangent line has a positive slope

• Tangent line is horizontal

• Tangent line has a negative slope

Which of the following graphs has the largest average rate of change from -1 to 2?

• 
• 
• 
• 

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find the average rate of change over

 $\left[-1,4\right]$  

• -5/7

• 7/5

• -7/5

• 5/7

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

State the slope of the line given.

• Positive

• Negative

• Zero Slope

• Undefined

Tags

CCSS.8.EE.B.5

Find the difference quotient for  $f\left(x\right)=x^2-2x-3$  .

• 2a - 2

• 2a - h - 2

• 2a + h - 2

• 2h - 2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

If  $f\left(x\right)=x+5$  then find  $\frac{f\left(x+\Delta x\right)-f\left(x\right)}{\Delta x}$  

• 1

•  $x+\Delta x+5$  

•  $-x\ -\ 5$  

•  $\frac{\Delta x-5}{\Delta x}$