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iGCSE (2021 Edition)

17.09 Absolute value function (Extended)

Interactive practice questions

Which of the following options describes a method for sketching a graph of $y=\left|f\left(x\right)\right|$y=|f(x)|, supposing we already have a graph of $y=f\left(x\right)$y=f(x)?

Reflect the graph of $y=f\left(x\right)$y=f(x) over the $x$x-axis.

A

Reflect the parts of the graph of $y=f\left(x\right)$y=f(x) over the $x$x-axis where $f\left(x\right)<0$f(x)<0.

B

Reflect the parts of the graph of $y=f\left(x\right)$y=f(x) over the $y$y-axis where $x<0$x<0.

C

Reflect the parts of the graph of $y=f\left(x\right)$y=f(x) over the $x$x-axis where $f\left(x\right)>0$f(x)>0.

D
Easy
< 1min

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

Easy
1min

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

Easy
2min

Consider the function $y=\left|x\right|$y=|x|.

Easy
< 1min
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Outcomes

0607C3.6

Use of a graphic display calculator to: sketch the graph of a function, produce a table of values, find zeros, local maxima or minima, find the intersection of the graphs of functions.

0607E3.2F

Recognition of absolute value, f(x) = | ax + b |, function types from the shape of their graphs.

0607E3.3

Determination of the value of at most two of a, b, c or d in simple linear, quadratic, cubic, reciprocal, exponential, absolute value and trignometric functions.

0607E3.6

Use of a graphic display calculator to: sketch the graph of a function produce a table of values, find zeros, local maxima or minima, find the intersection of the graphs of functions.

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