Maths4U Original · Short practice

\(\displaystyle P(x)=\)\(\left(x - 26\right) \left(x - 23\right) \left(x - 22\right)\). Use a sign chart to analyse P.

Find the left endpoint of the bounded interval where \(\displaystyle P\ge 0\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

\(\displaystyle P(x)=\)\(\left(x - 29\right) \left(x - 25\right) \left(x - 23\right)\). Use a sign chart to analyse P.

Find the left endpoint of the bounded interval where \(\displaystyle P\ge 0\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

\(\displaystyle P(x)=\)\(\left(x - 29\right) \left(x - 25\right) \left(x - 23\right)\). Use a sign chart to analyse P.

Find the right endpoint of the bounded interval where \(\displaystyle P(x)\ge 0\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

\(\displaystyle P(x)=\)\(\left(x - 32\right) \left(x - 27\right) \left(x - 24\right)\). Use a sign chart to analyse P.

Find the right endpoint of the bounded interval where \(\displaystyle P(x)\ge 0\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(y = \left|{\left(x - 24\right)^{2} - 25}\right| + 4\), with \(\displaystyle h=24, d=5, k=4\).

Find the value of y at \(\displaystyle x=h\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(y = \left|{\left(x - 25\right)^{2} - 4}\right| + 5\), with \(\displaystyle h=25, d=2, k=5\).

Find the value of y at \(\displaystyle x=h\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(y = \left|{\left(x - 25\right)^{2} - 4}\right| + 5\), with \(\displaystyle h=25, d=2, k=5\).

Find y at \(\displaystyle x=h+d+1\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Consider \(y = \left|{\left(x - 26\right)^{2} - 9}\right| + 1\), with \(\displaystyle h=26, d=3, k=1\).

Find y at \(\displaystyle x=h+d+1\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.