Graph the rational function and analyze it in the following way: find the intercepts, asymptotes, use limits to describe the behavior at the vertical asymptotes and the end behavior. Find the domain and range. Determine where the function is continuous and where it is increasing and decreasing. Find any local extrema. f(x) =  

What will be an ideal response?



x-intercept: (1, 0)
y-intercept: 
Vertical asymptote: x = -3  
Horizontal asymptote: none
End-behavior asymptote: y = x2 - 4x + 13

f(x) = ?, f(x) = -?
f(x) = ?, f(x) = ?
Domain: (-?, -3) ? (-3, ?)
Range: (-?, ?)
Continuity: all x ? -3
Local minimum at (-4.7, 77)
Increasing on: (-4.7, -3), (-3, ?)
Decreasing on: (-?, -4.7)
 


Mathematics

You might also like to view...

Find the sum of the geometric series for those x for which the series converges.

A.
B.
C.
D.

Mathematics

Find the indicated probability.A fair die is rolled and a coin is flipped. Determine the probability that a 2 is rolled and a head shows.

A.
B.
C.
D.

Mathematics

A company's strengths, weaknesses, opportunities and threats are all aspects of the internal environment that can affect the firm's choice and use of strategies.

Answer the following statement true (T) or false (F)

Mathematics

Solve the problem.A dietitian needs to purchase food for patients. She can purchase an ounce of chicken for $0.25 and an ounce of potatoes for $0.02. The dietician is bound by the following constraints.? Each ounce of chicken contains 13 grams of protein and 24 grams of carbohydrates.? Each ounce of potatoes contains 5 grams of protein and 35 grams of carbohydrates.? The minimum daily requirements for the patients under the dietitian's care are 45 grams of protein and 58 grams of carbohydrates. Let x = the number of ounces of chicken and  number of ounces of potatoes purchased per patient. Write a system of inequalities that describes these constraints.

A.

B.

C.

D.

Mathematics