SOLUTION: 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

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: 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      Log On

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Question 110651: 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) = –3x2 + x – 5. Be sure to properly label the graph, which includes labeling the axes and the graph with its equation.
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
1.
f%28x%29=+-3x+%2B+7

Solved by pluggable solver: PLOT any graph
Graphing function -%283x%29%2B7:

graph%28+400%2C+400%2C+-15%2C+15%2C+-15%2C+15%2C+-%283x%29%2B7+%29



2.

f%28x%29=+-3x%5E2+%2B+x+-+5

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case -3x%5E2%2B1x%2B-5+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%281%29%5E2-4%2A-3%2A-5=-59.

The discriminant -59 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -59 is + or - sqrt%28+59%29+=+7.68114574786861.

The solution is , or
Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+-3%2Ax%5E2%2B1%2Ax%2B-5+%29