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The graph of a function is given. Use the graph to find:

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The graph of a function is given. Use the graph to find:

(a) The intercepts, if any

(b) The domain and range

(c) The intervals on which it is increasing, decreasing, or constant

(d) Whether it is even, odd, or neither

asked Jan 9, 2015 in PRECALCULUS by anonymous

2 Answers

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Step 1 :

(a)

Find - intercept :

- intercept : The point where .

Observe the graph for - intercept.

The - intercepts are and .

Find - intercept :

- intercept : The point where .

Observe the graph for - intercept.

The - intercept is .

Step 2 :

(b)

All possible values of is the domain of a function.

The domain is or .

Range is the corresponding values of the function for different values of .

The range is or .

Solution :

(a) - intercepts : and and - intercept : .

(b) The domain is or .

     The range is or .

answered Jan 10, 2015 by Thomas Apprentice
edited Jan 10, 2015 by Thomas
0 votes

Step 1 :

(c)

The function is increasing for all values of between to and to .

The function is increasing over the interval and .

The function is decreasing for all values of between to and to .

The function is decreasing over the interval and .

Step 2 :

(d)

If the graph is symmetric about - axis, then it is an even function.

If the graph is symmetric about origin, then it is an odd function.  

The graph is symmetric about - axis, thus it is an even function.

Solution :

(c) The function is increasing over the interval and .

    The function is decreasing over the interval and .

(d) Even.

answered Jan 10, 2015 by Thomas Apprentice

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