This question comes form a 2008 exam paper from Kosovo:

*The graph of the function is given in the figure, accordingly, what is the value of f(-1) + f(0)?*

Firstly, I like multiple choice questions when it is clearly thoughtful. I wonder to the extent that it is necessary in this context, but that is another question.

Even though functions are thought at GCSE mathematics, I would hazard a guess that even questions like the above would not be too familiar. Often transformations of functions are graphed, and substitution into functions are calculated algebraically speaking. But the combination of the two is not as frequent it feels.

Thoughts on this question:

Could we combine with transformations of graphs (e.g., asking to sketch, and then asking for values such as 2f(3) + -f(0))

Could we include the graph of another function, say g(x), and ask for combined or even composite values (e.g., f(1) + g(2))

Could we include questions about inverse functions, where defined?

Similar problems – me:

The graph of two function are shown in the picture below.

What is the value of:

Similar problems – world:

When I find similar problems I will link them here 🙂