Calculus Chapter 5 Daily Quiz #1

What is the increasing interval for the function below?

• $\left(-\infty,\infty\right)$

• $\left(-\infty,2\right]$

• $\left(-\infty,6\right]$

• $\left(-6,6\right)$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is/are the increasing interval(s) for the function shown?

• $\left(-3,\ 1\right)$

• $\left(4,\ 8\right)$

• $\left(-\infty,1\right)\ and\ \left(-3,\ 1\right)$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If a function's FIRST derivative is negative at a certain point, what does that tell you?

• The function is increasing at that point
• The function is decreasing at that point
• The concavity of the function is up at that point
• The concavity of the function is down at that point

Tags

CCSS.HSF.IF.B.4

The slope of a function is described by its ____________.

• first derivative
• second derivative
• third derivative
• expression

Tags

CCSS.HSS.ID.C.7

If the first derivative of a function changes from positive to negative at a certain point, then that point is a known as a relative minimum.

• True (Facts)

• False (Not Facts)

Use the sign chart for f'(x).  There is(are) ...

• a local maximum at x = -2.
• a local minimum at
  x = -2 and a local maximum at x = 4.
• a local maximum at
  x = -2 and a local minimum at x = 4.
• no extrema.

Tags

CCSS.HSA.APR.B.3