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CanadaON
Grade 11

Graphing continuous and discontinuous functions

Interactive practice questions

Consider the graph of the function $f\left(x\right)=2x+5$f(x)=2x+5 shown below.

Loading Graph...

a

Are there any points within its domain where the function is discontinuous?

Yes

A

No

B
b

As such, is the function continuous over its domain?

Yes

A

No

B
c

Is the function smooth?

Yes

A

No

B
Easy
1min
Consider the graph of the function $f\left(x\right)$f(x) $=$= $-x^2+3$x2+3 when $x\ge0$x0
$x^2+3$x2+3 when $x<0$x<0
Easy
< 1min
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Outcomes

11U.C.1.1

Make connections between sequences and discrete functions, represent sequences using function notation, and distinguish between a discrete function and a continuous function

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