Questions: Determine the horizontal asymptote of the graph of the function. f(x)=(2x^2+3)/(5x^2-2) Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has one horizontal asymptote, (Type an equation. Use integers or fractions for any numbers in the equation.) B. The function has two horizontal asymptotes. The top asymptote is and the bottom asymptote is (Type equations. Use integers or fractions for any numbers in the equation.) C. The function has no horizontal asymptotes

Determine the horizontal asymptote of the graph of the function. f(x)=(2x^2+3)/(5x^2-2) Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has one horizontal asymptote, (Type an equation. Use integers or fractions for any numbers in the equation.) B. The function has two horizontal asymptotes. The top asymptote is and the bottom asymptote is (Type equations. Use integers or fractions for any numbers in the equation.) C. The function has no horizontal asymptotes
Transcript text: Determine the horizontal asymptote of the graph of the function. \[ f(x)=\frac{2 x^{2}+3}{5 x^{2}-2} \] Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has one horizontal asymptote, $\square$ (Type an equation. Use integers or fractions for any numbers in the equation.) B. The function has two horizontal asymptotes. The top asymptote is $\square$ and the bottom asymptote is $\square$ (Type equations. Use integers or fractions for any numbers in the equation.) C. The function has no horizontal asymptotes
failed

Solution

failed
failed

Solution Steps

Step 1: Determine the degrees of P(x) and Q(x)

Degree of P(x): 2, Degree of Q(x): 2

Step 2: Compare the degrees

Since the degree of P(x) is equal to the degree of Q(x),

Step 3: Calculate the leading coefficients ratio

The leading coefficient of P(x) is 2, and of Q(x) is 5.

Final Answer:

the horizontal asymptote is \(y = 0.4\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
3.3 yd
failedAnswered
Question 11 2.5 Poir If urine has a density of 1.08 g / mL, what would be the mass of a 125 mL urine sample? (A) 135 g (B) 0.00864 g (C) 116 g (D) 125 g
failedAnswered
CH4 Part 3 of 3 □ neither □ covalent □ ionic
failedAnswered
csc(-270°)
failedAnswered
A lever is a(n) object that rotates around a point called a(n)