Checking and securing understanding of function notation

12 questions

1. When graphing the linear equation y=6x-10, what is the value of the y coordinate when x=3?
2. When graphing the linear equation y=6x-10, what is the value of the y coordinate when x=-1?
3. Match these key words to their definitions.
4. When we graph the equation y= x^2, what is the minimum value (i.e. the smallest value of the y coordinate)?
5. Which of these is not a valid input for x in the equation y = \frac{1}{2x} ?
6. What does \text{sin}^{-1} (x) mean?
7. If \text{f}(x)= 4(x-2), which is the correct notation for the inverse function \text{f} inverse of x ?
8. If \text{g}(4) = 6, then \text{g}^{-1}(6) =___.
9. If \text{f}(x)= 3x - 5, \text{g}(x)= 10-2x and \text{h}(x)= x^2 + 3. Match up these functions with their outputs.
10. Which is the correct range for \text{f}(x)= x^2 + 4 with the domain {x : x is any value}?
11. Which is the correct range for \text{f}(x)= \text{sin}(x) with the domain {x : 0 \le x \le 180}?
12. Which domain restrictions would make \text{f}(x)= \frac{24}{x} a valid function?

License: OGL