Continunity as a property of functions

Practice Questions

AP Calculus AB › Continunity as a property of functions

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Correct graph

Consider the graph of above. What can we say about when ?

2

Correct graph

Consider the graph of above. What can we say about when ?

3

Determine any points of discontinuity for the function:

$f(x)=\frac{2}{ln(x^2)}$

4

Determine any points of discontinuity for the function:

$f(x)=\frac{2}{ln(x^2)}$

5

$f(x)={x^{2}+3}$ when and

$f(x)={7x-3}$ when $x\geq 3$

At the funciton described above is:

6

$f(x)={x^{2}+3}$ when and

$f(x)={7x-3}$ when $x\geq 3$

At the funciton described above is:

7

$f(x) = \left{\begin{matrix} x^{2}- 3x+ 17,& x<2 \ 17, & x=2\ x^{2}- 4x+ 16,&x > 2 \end{matrix}\right.$

Which of the following is equal to $\lim_{x\rightarrow 2 }f(x)$ ?

8

$f(x) = \left{\begin{matrix} x^{2}- 3x+ 17,& x<2 \ 17, & x=2\ x^{2}- 4x+ 16,&x > 2 \end{matrix}\right.$

Which of the following is equal to $\lim_{x\rightarrow 2 }f(x)$ ?

9

Which of the following functions contains a removeable discontinuity?

10

Which of the following functions contains a removeable discontinuity?

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