IVT

IVT

12th Grade - University

10 Qs

quiz-placeholder

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IVT

IVT

Assessment

Quiz

Mathematics

12th Grade - University

Practice Problem

Medium

CCSS
HSA.SSE.A.1, HSF.BF.B.3, HSA.APR.B.3

Standards-aligned

Created by

Dana Marshall

Used 7+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value for

 f(a)f\left(a\right)  of the  f(x)=2+xx2f\left(x\right)=2+x-x^2  given  [0,3]\left[0,3\right]  ?

2

4

6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value for

 f(b)f\left(b\right)  of the  f(x)=2+xx2f\left(x\right)=2+x-x^2  given  [0,3]\left[0,3\right]  ?

-2

-4

-6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Does  f\left(x\right)=2+x-x^2  holds with IVT given  [0,3]; w=1\left[0,3\right];\ w=1  ?

IVT holds

IVT does not hold

no sufficient information

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

The function g is continuous on the interval [0, 5] and has select values in the table. The equation g(x) = 1 must have at least 2 solutions in the interval [0, 5] if k = ?



6

0

2

1

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Let f be a continuous function for which f(-2)=1 and f(5)=-3. The Intermediate Value Theorem guarantees that

f(c)=2 for at least one c between -3 and 1

f(c)=0 for at least one c between -2 and 5

f(c)=0 for at least one c between -3 and 1

f(c)=2 for at least one c between -2 and 5

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

I only

II only

I, II, III

None

Tags

CCSS.HSA.SSE.A.1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

2 only
0 only
1 only
0 and 2 only

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