Continuity-1

A function is continuous on a number if and only if f(c) = lim f(x) as x approaches a number c.

• TRUE

• FALSE

A polynomial function is continuous to all real numbers.

• TRUE

• FALSE

The funciton f(x) = x²-2x+1, continuous to the interval [-7,7]

• TRUE

• FALSE

Tags

CCSS.HSF.IF.B.5

Which of the following best describes the continuity at x = 1?

• Continuous

• Removable Point Discontinuity

• Infinite Discontinuity

• Jump Discontinuity

Tags

CCSS.HSF-IF.C.7B

Which of the following best describes the continuity at x = 5?

• Continuous

• Removable Point Discontinuity

• Infinite Discontinuity

• Jump Discontinuity

Tags

CCSS.HSF-IF.C.7D

Find the limit of the function as x approaches 2⁺.

• 1
• -1
• 5
• DNE

Tags

CCSS.HSF.IF.A.2

Which one of these open intervals is the function discontinuous?

• (-5,-4)

• (-4,-2)

• (-2,0)

• (0,1)

The function is not continuous on which interval?

• [0,1)

• (0,1)

• [2,3)

• (3,4]

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Which interval completely displays the continuity of the given function?

• $\left(-\infty,-2\right)\cup\left(-2,\infty\right)$

• [-2,2]

• (-2,2)

• $\left(-\infty,-2\right]\cup\left[-2,\infty\right)$

Which of the following graphs presents a removable/hole discontinuity at x = 1?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7D