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9966 [12]
3 years ago
12

Describe when you use a solid line or a broken line when graphing inequalities. What does each type of line mean?

Mathematics
1 answer:
Kryger [21]3 years ago
5 0

<u>Answer:</u>

Graphing Linear Inequalities differs from graphing regular linear equations. That is it has certain rules to be followed to draw the graph.

  1. First, rearrange the equation as y in the left and other terms in the opposite side.
  2. Check for the line: y= , y≤ and y≥ comes with straight line where as y< and y> comes with a dotted (broken) line.
  3. Shading: If y> greater than or y≥ greater than or equal is present then the space above the line has to be shaded. If y< less than or y≤ less than or equal  is present then the space below the line has to be shaded.

Thus if the equation has y < or y > then we use broken line and y= , y≤ and y≥ then we use solid line.

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<h3>Answer:  g(x) = (-2/3)*x^2</h3>

============================================

Work Shown:

f(x) = x^2

g(x) = a*f(x) for some constant 'a' since g(x) is a scaled version of f(x).

The value of 'a' vertically stretches f(x) upward if a > 0

If 'a' is negative, then we have a reflection going on as shown in the diagram.

We want (x,y) = (3,-6) to be on the graph of g(x). This means g(3) = -6

If we plugged x = 3 into f(x), we get

f(x) = x^2

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g(x) = a*f(x)

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