Wk 12 Intermediate Value Theorem

Find the limit as x approaches 3 from the left

• 4
• 3
• 2
• DNE

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Which of the following is a horizontal asymptote for  $f\left(x\right)=\frac{3x^2-27}{x^2+4}$  ?

• No horizontal asymptote

• y=0

• y=3

• y=6

What is the limit?

• Infinity
• 20
• DNE
• 12

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.B.4

The graph of f is shown in the figure. Which of the following statements is false?

• 
• 
• 
• 

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

True or false? There is a zero on the interval [1,3].

• True because the function is continuous and there is a sign change on the interval [1,3]

• We cannot be certain since the function is not continuous on the interval [1,3]

• False because there is no sign change on the interval [1,3]

• False because the graph is not continuous on the interval [1,3]

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

• -1/4
• 8
• DNE
• ∞

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

• -1
• -4
• 8
• 5

Tags

CCSS.HSF-IF.C.7B

Determine the value of the limit

• ∞

• -∞

• DNE

• 0

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

 $\lim_{x\rightarrow-2^-}\left(\frac{2x^2+x+1}{x+2}\right)$  

• 0

•  $\infty$  

•  $-\infty$  

• 2

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.B.3