SOLUTION: I had to sketch the graph of {{{f(x)+x^2-x-2}}} and I've done that and I understand everything from domain, range, axis of symmetry, x and y intercepts, minimum/maximum values and

Question 147155: I had to sketch the graph of and I've done that and I understand everything from domain, range, axis of symmetry, x and y intercepts, minimum/maximum values and continuous. But I don't really get what the problem is asking for when it say increases and decreases. It is not clear to me. Please help.
Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
Increasing means the slope is positive. Decreasing means the slope is negative. You can identify this easily via the graph. To do it without a graph you really need calculus for full effect.
So, let's look at the graph of f(x)=x^2-x-2:

We can see right away that the function is decreasing until x=1/2 (which is the vertex). After x=1/2 the function is increasing.
In interval notation we will say: D: (-infinity,1/2) I: (1/2,infinity). Furthermore, we can accurately describe x=1/2 as the minimum of the function due to the behavior around x=1/2.
RELATED QUESTIONS
A function f is given. f(x)=x-2, -2 < x < 3 i) Sketch the graph of x ii)Use the... (answered by stanbon)

Graph f(x)= {{{ 2^x -5}}} I need the Domain and Range to draw my... (answered by jim_thompson5910)

Graph f(x)= (1/2)^-x I need the Domain and Range to draw my... (answered by jim_thompson5910)

Given {{{f(x)=2x-x^2+3}}}, find the domain, the range, the axis of symmetry, and the... (answered by ichudov)

My question is from the Blitzer book, pg 324 #27.. (preset: Use the vertex and... (answered by scott8148)

I forgot how to do this problem I am really struggling .. It says find the axis of... (answered by Boreal,josgarithmetic)

How do we find the domain, range and intercepts of any given graph? For example, find... (answered by ikleyn)

how do i graph constant function of f(x)=2 and use the graph to identify domain and range (answered by JBarnum)

Use the vertex and intercepts to sketch the graph of the quadratic functions. Give the... (answered by josgarithmetic)