Function analysis - rules

Function analysis - rules

11th - 12th Grade

8 Qs

quiz-placeholder

Similar activities

Concavity and Rates of Change

Concavity and Rates of Change

11th Grade

11 Qs

Applications of Derivatives

Applications of Derivatives

9th Grade - University

13 Qs

Parent Function Transformations Increasing and Decreasing Intervals

Parent Function Transformations Increasing and Decreasing Intervals

12th Grade

10 Qs

Odd Even Increasing Decreasing Functions

Odd Even Increasing Decreasing Functions

12th Grade

10 Qs

Increasing Decreasing Constant Functions

Increasing Decreasing Constant Functions

12th Grade

10 Qs

Calc Applications of Derivatives

Calc Applications of Derivatives

9th Grade - University

13 Qs

First and Second Derivative Test

First and Second Derivative Test

12th Grade

13 Qs

Analyze Functions

Analyze Functions

11th - 12th Grade

8 Qs

Function analysis - rules

Function analysis - rules

Assessment

Quiz

Mathematics

11th - 12th Grade

Medium

CCSS
HSF.IF.B.4, 8.F.B.4, HSF.LE.A.2

Standards-aligned

Created by

Frantsik Ágostonné

Used 10+ times

FREE Resource

8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given a function, f(x), if f'(x)<0 over a certain interval, then f(x) is ____________ over that interval.
decreasing
increasing
concave up
concave down

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given a function, f(x), if f'(x)>0 over a certain interval, then f(x) is __________ over that interval.
increasing
decreasing
concave up
concave down

Tags

CCSS.HSF.IF.B.4

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For a function f(x), f''(4)=0 indicates that x=4 is _____________.
an inflection point
a critical point
a relative maximum
a relative minimum

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The concavity of a function is described by its _______________.
first derivative
second derivative
third derivative
expression

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The slope of a function is described by its ____________.
first derivative
second derivative
third derivative
expression

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For a function g(x), g''(3)=-8 indicates that g(x) is ____________ at x=3.
increasing
decreasing
concave up
concave down

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If f '(3) = 0 and f"(3) < 0, then which of the following must be true?

There is a local max at x=3

There is a local min at x = 3

There is an inflection point at x = 3

There is an x-intercept at x = 3

8.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image
The graph shown is the DERIVATIVE of f. From the derivative's graph, identify the interval graph where f (the original function) is concave up.
(-1,1) & (3,4)
(-3,-2)
(-2,-1)
(-3,-1) & (1,3)