Functions (Graphs and Behaviour)
Hong Kong
Stage 4 - Stage 5
Intersections of Graphs by other methods I
Interactive practice questions
Consider the following linear equations:
$y=5x-7$y=5x−7 and $y=-x+5$y=−x+5
a
Plot the lines of the two equations on the same graph.
Loading Graph...
b
State the values of $x$x and $y$y which satisfy both equations.
$x$x = $\editable{}$
$y$y = $\editable{}$
Easy
2min
Consider the functions $f\left(x\right)=-3\left(x^2-3\right)$f(x)=−3(x2−3) and $g\left(x\right)=-6x$g(x)=−6x.
Easy
2min
Below is the graph of $y=-x^2-2x+3$y=−x2−2x+3.
We want to solve the equation $x^2-x-2=0$x2−x−2=0 graphically by finding the point of intersection of $y=-x^2-2x+3$y=−x2−2x+3 and a straight line graph.
Easy
5min
Consider the functions $f\left(x\right)=5x+5$f(x)=5x+5 and $g\left(x\right)=2^x+5$g(x)=2x+5.
Medium
2min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account