You are here:

Algebra/Interpreting a Function’s Graph

Advertisement

Expert: - 7/19/2010


Question

Graph
I have attatched a graph for the questions. Please help me.

Given the information on the graph, answer the following questions:

i.   Explain why f represents the graph of a function.
ii.   Use the graph to find a reasonable estimate of f (– 2).
iii.   What is the domain of f?
iv.   What is the range of f?

Answer
I can give you some good hints.

It is a function because for each x defined, there is only one y.

The value at f(-2) appears to be roughly 2.

The equation for f is two line.
One goes from (-2,2) to (0,1) and the other goes from (0,1) to (2,-1).
The point-slope from of a line is y - y1 = m(x - x1) and m = (y2-y1)/(x2-x1).


The domain is the x values and the range is the y values.

At (-2,2) { which is the left end }, the domain and range include the point, so a '[' is used.

At (2,-1) { the right end }, the domain and range have a, ')' at the end, since that point is not included.

Scott A Wilson

Expertise

Any algebraic question you've got, like linear, quadratic, exponential, etc.

Experience

solving story problems solving linear, parabolic, and 3rd order equations solving equations with multiple variables

Publications
documents at Boeing

Education/Credentials
MS at math OSU in mathematics at OSU BS at OSU in mathematical sciences (math, statistics, computer science)

Awards and Honors
both BS and MS degrees were given with honors

Past/Present Clients
students from all over since the 80's; over 1,000 in algebra

©2012 About.com, a part of The New York Times Company. All rights reserved.