Functions (Graphs and Behaviour)
India
Class XI
Hybrid Functions
Interactive practice questions
Consider the function:
| $f\left(x\right)$f(x) | $=$= |  |
$-x$−x, | $x\ge0$x≥0 |
| $x$x, | $x<0$x<0 |
a
Graph the function.
Loading Graph...
b
What is the domain of the function?
$\left(-\infty,0\right)$(−∞,0)$\cup$∪$\left(0,\infty\right)$(0,∞)
A
$\left(0,\infty\right)$(0,∞)
B
$\left(-\infty,\infty\right)$(−∞,∞)
C
$[$[$0,\infty$0,∞$)$)
D
c
What is the range of the function?
$\left(-\infty,0\right)$(−∞,0)$\cup$∪$\left(0,\infty\right)$(0,∞)
A
$\left(-\infty,0\right]$(−∞,0]
B
$\left(0,\infty\right)$(0,∞)
C
$\left(-\infty,\infty\right)$(−∞,∞)
D
Easy
2min
Use the graph of $g$g to solve the following:
Easy
1min
Use the graph of $f\left(x\right)$f(x) to answer the following. Where applicable, use interval notation:
Easy
4min
Consider the function below:
Easy
2min
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