Question 88425: These problems came from my daughter's professor. If they are from a text, we do not know the ISBN.
I am trying to help my daughter (35y.o) who is taking an Algebra course. It has been 40+ years since I have done this type of math.
The questions are:
A. Graph the function f(x)=-3x+7. Be sure to properly label the graph, which includes labeling the axes and the line with its equation.
B. Graph the function f(x)=-3x(sq) +x -5. Same rule as above.
I would appreciate any assistance. This one really confused me.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! To graph functions you have to:
1st: Determine a number of points.
2nd: Plot the points on a coordinate system.
3rd: Draw a line or smooth curve thru the points.
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A. Graph the function f(x)=-3x+7. Be sure to properly label the graph, which includes labeling the axes and the line with its equation.
Draw two lines perpendicular to each other.
Label the vertical line "y" or f(x)
Label the horizontal lin "x"
Find two Points:
If f(x) = 0, then 0 = -3x+7; 3x = 7; x= 7/3
This gives you the point (7/3,0)
If x = 0, the f(x) = -3*0+7; f(x) = 7
This gives you the point (0,7)
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Plot these two points and draw a line thru them; you should get the
following graph:
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B. Graph the function f(x)=-3x^2 +x -5. Same rule as above.
Same procedure but you need a few more points because the graph is a curve.
If x=0, y=-5
If x=1, y= -3+1-5=-7
If x=2, y= -3*4-2-5 = -19
If x=-1, y = -3*1 -1-5 = -9
If x=-2, y = -3*4 -3-5 = -20
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Plot these points; draw a smooth curve (a parabola) thru them to get the
following graph:
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Cheers,
Stan H.
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