0606 · Notes & worked examples
Check a final answer, then explain the reasoning on paper. Guest progress stays in this browser; an account saves future checks without overwriting your first result.
Recall
Maths4U Original · Short practice
\(f{\left(x \right)} = 5 x + 22\), with domain \(\left[2, 9\right]\). Write \(\displaystyle a=5\) for its gradient and u for its lower domain endpoint.
Find f at the lower domain endpoint.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Fresh review variant
Maths4U Original · Short practice
\(f{\left(x \right)} = 2 x + 23\), with domain \(\left[3, 7\right]\). Write \(\displaystyle a=2\) for its gradient and u for its lower domain endpoint.
Find f at the lower domain endpoint.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Method
Maths4U Original · Short practice
\(f{\left(x \right)} = 2 x + 23\), with domain \(\left[3, 7\right]\). Write \(\displaystyle a=2\) for its gradient and u for its lower domain endpoint.
Find f at the upper domain endpoint.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Fresh review variant
Maths4U Original · Short practice
\(f{\left(x \right)} = 3 x + 24\), with domain \(\left[1, 6\right]\). Write \(\displaystyle a=3\) for its gradient and u for its lower domain endpoint.
Find f at the upper domain endpoint.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Apply
Maths4U Original · Short practice
\(f{\left(x \right)} = 3 x + 24\), with domain \(\left[1, 6\right]\). Write \(\displaystyle a=3\) for its gradient and u for its lower domain endpoint.
Find the input whose output is f(u)+a.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Fresh review variant
Maths4U Original · Short practice
\(f{\left(x \right)} = 4 x + 25\), with domain \(\left[2, 8\right]\). Write \(\displaystyle a=4\) for its gradient and u for its lower domain endpoint.
Find the input whose output is f(u)+a.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Check understanding
Maths4U Original · Short practice
\(f{\left(x \right)} = 4 x + 25\), with domain \(\left[2, 8\right]\). Write \(\displaystyle a=4\) for its gradient and u for its lower domain endpoint.
Find the length of the range interval.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Fresh review variant
Maths4U Original · Short practice
\(f{\left(x \right)} = 5 x + 26\), with domain \(\left[3, 10\right]\). Write \(\displaystyle a=5\) for its gradient and u for its lower domain endpoint.
Find the length of the range interval.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.