requestbook
29

Step-by-step Answer
PAGE: 88SET: ExercisesPROBLEM: 29
Please look in your text book for this problem Statement

The piecewise function is

(a)

All possible values of for which the function is mathematically correct is the domain of a function.

The domain of is all real numbers.

(b)

Find the intercepts

Find the -intercept by substituting .

If , the function is .

Substitute in above function.

The value of which is not to be considered because .

There is no -intercept.

Find the -intercept by substituting .

The function is not defined at .

The function is defined at .

The intercept is .

(c)

 Draw the table of different values of for .

If then the function is .

If then the function is .

 Graph:

1). Draw a coordinate plane.

2). Plot the points found in the table and connect the plotted points

3). Label the intercept points.

 

 (d)

All possible values of is range of a function.

Observe the graph:

The range of function is .

The range in interval notation .

(e)

The function is discontinuous at because the function has hole as .

(a) The domain of is all real numbers.

(b) The intercept is .

(c) Graph of the function:

(d) The range of the function in interval notation .

(e) The function is discontinuous at .



TESTIMONIALS

"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!"

June Barnett

"Your site is amazing! It helped me get through Algebra."

Charles

"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful."

Dan Pease

QUESTIONS? LET US HELP.
Simply chose a support option

My status

JOIN US ON:     
mathskey.com is not affiliated with any Publisher, Book cover, Title, Author names appear for reference only