graphs of functions exam with
complete solutions
domain - ANSWER-the x value
range - ANSWER-the y value
notation - ANSWER-1. f:x → 3x+2
2. f(x) = 3x+2
Example - ANSWER-f(x) = 2x+2
find f(2)
f(2)= (2*2)+ 2
=6
Inverse function (f^-1 (x)) - ANSWER-The function that takes the range back to
the domain and has a reverse operation.
Cubic function formula - ANSWER-y= ax³+bx²+cx+d
To find the inverse of a function - ANSWER-1. Replace f(x) with y
2. Interchange x and y
3. Make y the subject of the formula
4. Replace y with f⁻¹(x)
if a>0 - ANSWER-Graph curves downwards then bends upwards