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CanadaON
Grade 12

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
3min

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

Easy
2min

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.

Easy
1min

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

Easy
3min
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Outcomes

12F.C.4.2

Determine solutions to polynomial inequalities in one variable and to simple rational inequalities in one variable by graphing the corresponding functions, using graphing technology, and identifying intervals for which x satisfies the inequalities

12F.C.4.3

Solve linear inequalities and factorable polynomial inequalities in one variable in a variety of ways, and represent the solutions on a number line or algebraically

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