1. Functions from a Calculus Perspective

1.01 Subsets of the real number system

1.03 Domain, range, zeros, and symmetry

1.04 Continuity, end behavior, and the intermediate value theorem

1.05 Critical points and average rate of change

1.06 Function families and transformations

1.07 Piecewise functions

1.08 Operations and compositions of functions

1.09 Inverse relations and functions

United States of America

Grades 9-12

1.04 Continuity, end behavior, and the intermediate value theorem

Interactive practice questions

Consider the graph of $y=f\left(x\right)$y=f(x).

Loading Graph...

A function is plotted on a coordinate plane. A straight line sloping downwards from the left side of the graph ends at $\left(3,5\right)$(3,5). A straight line sloping upwards starts at $\left(3,5\right)$(3,5) and extends to the right. The coordinate is not explicitly labeled or mentioned on this graph.

a

What is the function value at $x=3$x=3?

$5$5

A

Undefined

B

$3$3

C

b

Is the graph continuous at $x=3$x=3?

Yes

A

No

B

Easy

< 1min

Consider the graph of $y=f\left(x\right)$y=f(x).

Easy

< 1min

Consider the graph of $y=f\left(x\right)$y=f(x).

Easy

< 1min

Consider the graph of $y=f\left(x\right)$y=f(x).

Easy

< 1min

What is Mathspace

About Mathspace