UK Secondary (7-11)
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Solve quadratic inequalities

Interactive practice questions

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

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a

Find the values of $x$x for which $f\left(x\right)=0$f(x)=0. Write both solutions on the same line separated by a comma.

b

For what values of $x$x is $f\left(x\right)<0$f(x)<0?

Give your answer as an inequality.

c

For what values of $x$x is $f\left(x\right)>0$f(x)>0?

Give your answer as an inequality.

d

What is the $x$x-coordinate of the vertex of $f\left(x\right)$f(x)?

Easy
Approx 4 minutes
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Consider the graph of $y=f\left(x\right)$y=f(x).

The function $f\left(x\right)=5+4x-x^2$f(x)=5+4xx2 has been graphed.

Use the graph to solve the inequality $5+4x-x^2>0$5+4xx2>0.

Consider the function $f\left(x\right)=x^2-4x-5$f(x)=x24x5.

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