# Math/Algebra

posted by .

Sketch the graph of each piecwise-defined function. Determine the domain and range. Identify each point of discontinuity.

f(x)= -x if x<0
4-2x if 0 <or= x<3
2x+1 if x >= 3

• Math/Algebra -

With a soft pencil and a good eraser, draw the following lines

y = -x , use (0,0) and (-4,-4) to sketch it
y = 4 - 2x , use (0,4) and (2,0) to sketch it
y = 2x + 1 , use (0,1) and (3,7) to sketch it

erase the overlapping lines, leaving only the parts in the given domains.

Make special note of the "transition" points, noting carefully if the point is included or excluded

e.g. for y = -x, the point (0,0) would be excluded but the point (0,4) would be included in y = 4-2x

To include a point, the common way is to draw it as a solid point, to exclude it, draw it as an open point
(like a little o )

## Similar Questions

1. ### algebra

1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). Use finite differences to determine the equation of the function. (b) Draw the graph of the function. (c) Draw the inverse on the graph. (d) Show at least two different …
2. ### Algebra II

I sketched the graph for this but I don't know how to find B and C: x=t-2 Sketch the graph of: for -2¡Üt¡Ü5 Y=t^2-4t-3 B. State the domain of x and the range of y. c. Write y as a function of x.
3. ### math

Use a graph to determine whether the given function is continuous on its domain. HINT [See Example 1.] f(x) = x + 7 if x < 0 2x − 5 if x ≥ 0 1 continuous discontinuous If it is not continuous on its domain, list the …
4. ### Algebra

Use the function below to answer the following parts. 1/3x - 4 if -6 </= x < - 3 f(x) = 2 if -3 < x < 3 x^2 - 4 if x > 3 I found out the domain, range, and points of disontinuity. I think i did them right: Domain= [-6,infinity] …
5. ### Pre Cal

a function f is defined as f(x)= square root of (x+4). a) identify the domain of the function b) identify the range of the function c)Compute the intercept d) compute the x intercept E) sketch a graph of the function
6. ### MATH Graphing Domain

Consider the linear function with equation y = 3x + 5. Sketch the graph of the linear function on the grid. h t t p : //img402 . imageshack . us/img402/1466/picture38c . j p g Here is a picture of the graph, and this is how I did it. …
7. ### algebra

2. The function f is defined as follows f(x)={4+2x if x<0 {x^2 if x>0 a) Find the domain of the function b) Locate any intercepts c) Graph function d) Based on graph find range e) Is f continuous on its domain?
8. ### Math

HELP PLEASE!!! I'm having some trouble with this question on my Maths hw. Any help is appreciated:) Identify the domain and range of the function. y=-0.25x^2 1. domain: (-oo, 0] range: (-oo, oo) 2. domain: (-oo, oo) range: (-oo, 0] …
9. ### Algebra 1

Graph each function, identify the domain and range, and compare the graph with the graph of y=x^1. 1.y=x^-10 Domain: Range: compare: 2.y=x+3^1+3 Domain: Range: compare: solve and graph.
10. ### Algebra 1 - Help!?

Two big questions that are driving me mad. 1) Given the following linear function sketch the graph of the function and find the domain and range. f(x) = 2/7x - 2 2) Given the following linear function sketch the graph of the function …

More Similar Questions