Functions (general)

If y is a function of x such that 2x - 3y = 6, what is the rate of change of y with respect to x?

• -2

• $-\frac{3}{2}$

• $\frac{2}{3}$

• 2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The graph represents the height of a paper airplane falling.

Determine the rate of change.

• 60 feet

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find the rate of change from the table:

• -2/5

• 5/-2

• 5/2

• 2/5

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Michael started a savings account with $300. After 4 weeks, he had $350 dollars, What is the rate of change of money in his savings account per week? Hint: Use time zero for the time for the $300.

• 12.5 dollars per week
• 50 dollars per week
• 44.4 dollars per week
• .875 dollars per week

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the rate of change of this function?

• 2

• -2

• 
  

  $-\frac{1}{2}$
  

• $\frac{1}{2}$
  

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Which of the following are ways to find the rate of change?

• change in y over change in x

• rise over run

• subtract y coordinates over subtract x coordinates

• all of the above

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the rate of change for the following graph?

• 80
• 20
• 40
• 160

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find the average rate of change of    
 $f\left(x\right)=x^2$  
from  $x_1=2\ and\ x_2=4$  

•  $\frac{f\left(4\right)-f\left(2\right)}{4-2}=\frac{16-4}{4-2}=6$  

•  $\frac{f\left(4\right)-f\left(2\right)}{4-2}=\frac{4-2}{4-2}=\ 1$  

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the next step in the set up that is used to find the instantaneous rate of change of the function at x = 2?

 $f\left(x\right)=3x+1$  

•  $\frac{3\left(2\right)+1}{2}$  

•  $\frac{3\left(2+h\right)+1-7}{h}$  

•  $\lim_{h\rightarrow0}\frac{3\left(2+h\right)+1-7}{h}$  

•  $\lim_{h\rightarrow0}\ \frac{7}{2}$  

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• -3

• 3

• 1/3

• -1/3

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6