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Mastering Free-Response Questions in AP Calculus AB

Mastering Free-Response Questions in AP Calculus AB

Assessment

Interactive Video

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•
CCSS
HSF-BF.A.1C

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSF-BF.A.1C

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of function is primarily discussed in the session?

Quadratic function

Exponential function

Trigonometric function

Piecewise function

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct expression for G of X given in the session?

x + integral from -1 to x of f(t) dt

2x + integral from -2 to x of f(t) dt

2x^2 + integral from -2 to 2 of f(t) dt

x^2 + integral from 0 to x of f(t) dt

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the base of the rectangle used in the area calculation from -2 to 0?

1

2

3

4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of the integral calculation from -2 to 0 for the function f?

3

4

6

5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What theorem is used to derive G Prime of X?

Power rule

Chain rule

Fundamental theorem of calculus

Limit definition of derivative

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At which point does G Prime of -2 not exist due to non-differentiability?

At a corner

At an endpoint

At a discontinuity

At a cusp

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What intervals is the graph of G concave down?

From -2 to 0 and 2 to 8

From 0 to 2 and 8 to 10

From -3 to 0 and 2 to 7

From -1 to 1 and 3 to 5

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