Functions (Graphs and Behaviour)

Hong Kong

Stage 4 - Stage 5

Using the graphs of $y=2x-7$`y`=2`x`−7 and $y=-2x+1$`y`=−2`x`+1, find the solution(s) of the equation $2x-7=-2x+1$2`x`−7=−2`x`+1.

Easy

Approx 2 minutes

Consider the following linear equations:

$y=5x-7$`y`=5`x`−7 and $y=-x+5$`y`=−`x`+5

Consider the functions $f\left(x\right)=-3\left(x^2-3\right)$`f`(`x`)=−3(`x`2−3) and $g\left(x\right)=-6x$`g`(`x`)=−6`x`.

Consider the functions $y_1$`y`1 and $y_2$`y`2:

$y_1=3x+2$`y`1=3`x`+2

$y_2=3-3x$`y`2=3−3`x`

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