Mathematics from zero
Functions: free-recall review
Recalling an idea fixes it far better than re-reading it. For each prompt, say or write a full answer from memory before you open the model answer — the effort of pulling it back is what makes it stick.
Reconstruct the unit’s spine from memory: what a function is, what its notation means, what its domain and range are, what makes a function linear, and why a linear function graphs as a straight line.
- 01What is a function, and what is the one rule it must obey?
- 02What does the notation f(3) mean, and how do you find its value?
- 03What are the domain and range of a function, and how do they differ?
- 04What makes a function linear, and what are its two parts?
- 05Why does a linear function always graph as a straight line?
- 06Given the graph of a function, how do you read the output for a chosen input?
If you could rebuild each answer from memory, you hold the unit: a function is a one-output-per-input rule; its notation f(3) names the rule and the input you feed it; the domain is what may go in and the range is what comes out; a linear function is a steady rate plus a starting value; and because that step is constant it always graphs as a straight line you can read in either direction.