APPC Average Rate of Change

If the rate of change is increasing then ...

• The function is concave up

• The function is concave down

• The function is increasing

• The function is decreasing

Tags

CCSS.HSF-LE.A.1B

If the first difference is negative then ....

• The function is concave up

• The function is concave down

• The function is increasing

• The function is decreasing

Tags

CCSS.HSF-LE.A.1B

If the rate of change is decreasing then ...

• The function is concave down

• The function is concave up

• The function is increasing

• The function is decreasing

If the second difference is positive then ....

• The function is concave down

• The function is concave up

• The function is increasing

• The function is decreasing

Tags

CCSS.8.F.A.3

If the rate of change is negative then ...

• The function is decreasing

• The function is increasing

• The function is concave up

• The function is concave down

Tags

CCSS.HSF-LE.A.1B

If the average rate of change is positive then...

• The function is increasing

• The function is decreasing

• The function is concave up

• The function is concave down

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

If the function is increasing at an increasing rate then

• the function is positive

• the function is increasing

• the function is concave up

• the function is negative

Tags

CCSS.HSF.LE.B.5

If the function is increasing at a decreasing rate then

• the function is increasing

• the function is concave up

• the function is concave down

• the function is decreasing

If the function has a decreasing rate of change then

• the function is increasing

• the function is decreasing

• the function is concave up

• the function is concave down

If the rate of change of the average rate of change is negative then ...

• the function is concave down

• the function is concave up

• the function is negative

• the function is positive