Use the graph of f at the right to complete each of the parts (a) through (h). a

Question

Use the graph of f at the right to complete each of the parts (a) through (h). a. Find the domain of f. The domain of f is . (Type your answer in interval notation.) b. Find the range of f. The range of f is . (Type your answer in interval notation.) c. Find f(-4). f(-4) = d. Find the values of x for which f(x) = -6. The values of x are . (Use a comma to separate answers as needed.) e. Find the points where the graph of f crosses the x-axis. The points are . (Type ordered pairs. Use a comma to separate answers as needed.) f. Find the point where the graph of f crosses the y-axis. The point is . (Type an ordered pair.) g. Find values of x for which f(x)

Explanation / Answer

a) To find domain of f we have to observe that the curve of f has no end points in left or right direction. So, its domain will be all real values. In interval notation: (-infinity, +infinity)

b) To find range of f we have to observe that the curve from top to bottom which turns at -8, so the low end point will be -8. Now, the curve in right direction does not stop, so, the upper end point will be infinity. In interval notation: [-8, +infinity)

c) At x= -4 the value of y is 10. So, f(-4)=10

d) We have look the values of x where the value of y is -6.

    By looking at graph y= -6 when x=5 and when x= 9

   So, x=5,9

e)We need to look the value of x when y=0 .

There are two points where the value of y is 0. These are x= 3,11

So, in ordered pair (3,0) and (11,0)

f) We need to look the value of y when x=0 .

There is only one point where x= 0 when y= 10

   So, in ordered pair (0, 10)

g) Look for the values of x when the curve is below the x axis. These values are from 3 to 11.

   So, in interval notation [3,11]

h) Look for the value of y when x= -7.

Since, the curve becomes straight in left direction and doesnot stop, so, it will be positive.

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