IVT

What is the value for

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

• 2
  

• 4

• 6

What is the value for

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

• -2
  

• -4

• -6

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

• IVT holds

• IVT does not hold

• no sufficient information

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

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

• I only

• II only

• I, II, III

• None

Tags

CCSS.HSA.SSE.A.1

• 2 only
• 0 only
• 1 only
• 0 and 2 only

TRUE OR FALSE?  If f is continuous on [-1,1], f(-1)=4 and f(1)= -2, then there is a zero between -1 and 1.

• TRUE
• FALSE
• CANNOT BE DETERMINED

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.3

• A
• B
• C
• E