Interactive practice questions
Consider the function $f(x)=\left|2x+4\right|$f(x)=|2x+4|.
a
The graph of the function is given. On the same set of axes, plot the points at which $f(x)=2$f(x)=2.
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b
How many solutions does the equation $\left|2x+4\right|=2$|2x+4|=2 have?
c
Using the result of part (a) or otherwise, find the solutions to the equation $\left|2x+4\right|=2$|2x+4|=2.
State your solutions on the same line, separated by a comma.
Easy
3min
Consider the equation $\left|5x\right|=15$|5x|=15.
Easy
1min
The cubic function $y=\left(x+1\right)\left(x-2\right)\left(x-3\right)$y=(x+1)(x−2)(x−3) has been graphed.
Determine the number of solutions to the equation $\left(x+1\right)\left(x-2\right)\left(x-3\right)=0$(x+1)(x−2)(x−3)=0.
Easy
< 1min
Consider the equations $y=x^2$y=x2 and $y=9$y=9.
Easy
2min
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