Question
Asked Feb 29, 2020
1 views

7.

f(x)= x^2+16/x

A) select the correct choice 

  • a) the equation of the slant asymptote is ___
  • b) there is no slant aymptote

B) Determine the symmetry of the graph

  • a) neither y-axis symmetry nor origin symmetry
  • b)origin symmetry 
  • c)y-axis symmetry 

C) What is the y-intercept?

  • a) the y-intercept is ___
  • b) there is no y-intercept

Plot points 

x -6 -5 5 6 7
f(x)= x^2+16/x           

Graph:

check_circle

Expert Answer

Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

a) The degree of the numerator is 2 and the degree of the denominator is 1.

Since the degree of the numerator is 1 more than the degree of the denominator, so there will be a slant asymptote.

to find slant asymptote we use the long division.

Algebra homework question answer, step 1, image 1

The quotient is x, so y=x is the slant asymptote.

Answer(a): a) the equation of the slant asymptote is y=x

Step 2

b) To check y axis symmetry we have to plug -x in place of x. 

Algebra homework question answer, step 2, image 1

The equation has changed so there is no y-axis symmetry. 

To check origin symmetry we have to plug -x in place of x and -y in place of y.

Algebra homework question answer, step 2, image 2

The equation did not change, so it has symmetry about the origin

 

Answer(b): b)origin symmetry 

...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in