Asked by Anonymous
a) Given f(x)=(x=4)(x-2), write equtions for -f(x) and f(-x)
b)Sketch the tree graphs on the same set of axes
c) State the domian and range of each function
b)Sketch the tree graphs on the same set of axes
c) State the domian and range of each function
Answers
Answered by
GanonTEK
Firstly f(x)=(x=4)(x-2) is wrong you have two = signs. I'm assuming it's a + or another -.
a) Well, you know f(x), so -f(x) just has a - in front of it.
f(-x) means put -x in everywhere you see x
b) f(x), -f(x) and f(-x) are all of the form y = ax^2+bx+c which is a parabola in graph terms.
c) The domain is all the x-values, and the range is all the y-values
For any line the domain is -inf to inf
and the range is also -inf to inf
For a parabola the domain is -inf to inf
the range is either;
+ve x^2 --> inf to turing point
-ve x^2 --> turning point to -inf
Ok, hope that helps
a) Well, you know f(x), so -f(x) just has a - in front of it.
f(-x) means put -x in everywhere you see x
b) f(x), -f(x) and f(-x) are all of the form y = ax^2+bx+c which is a parabola in graph terms.
c) The domain is all the x-values, and the range is all the y-values
For any line the domain is -inf to inf
and the range is also -inf to inf
For a parabola the domain is -inf to inf
the range is either;
+ve x^2 --> inf to turing point
-ve x^2 --> turning point to -inf
Ok, hope that helps