Applications of Derivatives

What is the lowest point on a function called?

• relative maximum

• relative minimum

• absolute maximum

• absolute minimum

Tags

CCSS.HSF.IF.C.7

What is the highest point on a function called?

• relative minimum

• relative maximum

• absolute minimum

• absolute maximum

What is the "top of a hill" on a function (even if it is a cusp) called?

• relative minimum

• relative maximum

• absolute minimum

• absolute maximum

Tags

CCSS.HSF.IF.C.7

What is the "bottom of a valley" on a function (even if it is a cusp) called?

• relative minumum

• relative maximum

• absolute minimum

• absolute maximum

Tags

CCSS.HSF.IF.C.7

Critical numbers occur where the first derivative is what? (Check all that apply).

• endpoint

• zero

• maximum

• undefined

Absolute extrema can occur at which of the following? (Check all that apply.)

• endpoints

• relative maximum

• relative minimum

• critical numbers

A function is increasing if its first derivative is what?

• undefined

• positive

• negative

• zero

A function is decreasing if its first derivative is what?

• positive

• negative

• zero

• undefined

What values separate intervals of increasing and decreasing?

• possible points of inflection

• critical numbers

If a function switches from increasing to decreasing, what occurs between?

• absolute maximum

• absolute minimum

• relative maximum

• relative minimum