A. Find domain of f b. Find the range of f

c. Find f(-3)

d. Find the values of x for which f(x)=-6

e. Find the points where the graph of f crosses the x-axis

f. Find the point where the graph of f crosses the y-axis

g. Find values of x for which f(x) < 0

h. Is f(-10) positive or negative?

f. Find the point where the graph of f crosses the y-axis

Step-by-step explanation:

Imagine a vertical line passing through the graph, moving from left to right.

Every time the vertical line touches a point that lies above the  

x

-axis, then you must include that  

x

-value in the solution set.

Be extra careful of ‘boundary’ or ‘transition’ points—places where something interesting is happening

(like where the graph crosses the  x

-axis, or where there's a break in the graph).

For example, suppose the vertical line reaches  x = 3 .

The point (the filled-in circle) is below the  x

-axis, so we don't want this  x

-value.

But then, the graph is above until we reach  x = − 2 .

When  x = − 2

, the point is on the  x

-axis, so we don't want this  x

-value, either.

This discussion gives the interval  ( − 3 , − 2 )

in the solution set.

Remember that the symbol ‘

∪

’, the union symbol, is used to put sets together.

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step-by-step explanati∵∵∴∴on:

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