Consider the graph of the function $f\left(x\right)=2x+5$f(x)=2x+5 shown below.
Are there any points within its domain where the function is discontinuous?
Yes
No
As such, is the function continuous over its domain?
Yes
No
Is the function smooth?
Yes
No
Consider the graph of the function $f\left(x\right)$f(x) | $=$= | $-x^2+3$−x2+3 | when $x\ge0$x≥0 | |
$x^2+3$x2+3 | when $x<0$x<0 |