Answers FL-1200330-Algebra 2 CRModeling with Rational Functions

Modeling with Rational Functions — Unit test Answers

0 verified answers

Free Preview

For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1?

a = –1, m = 0

a = 1, m = 0

a = –1, m = 1

a = 1, m = 1

Free Preview

Which graph represents the function ?

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 3, and the horizontal asymptote is at y = negative 2.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens down and to the left in quadrants 2 and 3. A vertical asymptote is at x = 3, and the horizontal asymptote is at y = negative 2.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens down and to the left in quadrants 2 and 3. A vertical asymptote is at x = negative 3, and the horizontal asymptote is at y = 2.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1 , and the other curve opens down and to the left in quadrants 2, 1, and 4. A vertical asymptote is at x = 3, and the horizontal asymptote is at y = 2.

A basketball player’s free-throw percentage is the ratio of the number of successful shots made to the number of shots attempted. A basketball player has made 13 of the first 20 free throws she has attempted this season. Which rational expression can be used to find the free throw percentage for the season if she successfully makes her next x free-throw attempts?

Option

What is the product?

StartFraction k + 1 Over k squared EndFraction

StartFraction k minus 1 Over k squared EndFraction

StartFraction negative 1 Over k EndFraction

StartFraction 1 Over k EndFraction

What is the solution to the equation ?

m = –4

m = –2

m = 2

m = 4

Which statement is true about the discontinuities of the function f(x)?

There is a hole at x = 2.

There are asymptotes at x = 0 and x = –1.

There are asymptotes at x = 0 and x = –1 and a hole at .

There are holes at x = 0 and x = –1 and an asymptote at x = 2.

Which expression is equivalent to the following complex fraction?

StartFraction y + x Over y minus x EndFraction

StartFraction (y minus x) (y + x) Over x squared y squared EndFraction

StartFraction x squared y squared Over (y + x) (y + x) EndFraction

StartFraction y minus x Over y + x EndFraction

What are the vertical and horizontal asymptotes for the function ?

vertical asymptote: x = 1horizontal asymptote: none

vertical asymptote: x = 1horizontal asymptote: y = 0

vertical asymptote: x = –2, x = 3horizontal asymptote: y = 0

vertical asymptote: x = –2, x = –3horizontal asymptote: none

Which expression is equivalent to the following complex fraction?

StartFraction x minus 3 Over x EndFraction

StartFraction x + 3 Over 1 EndFraction

StartFraction x + 3 Over x EndFraction

StartFraction x Over x + 3 EndFraction

A certain company has a fixed cost of $200 per day. It costs the company $3.10 per unit to make its products. The company is tracking its average cost to make x units using . Which statement is true?

The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

The horizontal asymptote of y = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.

The vertical asymptote of x = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

The vertical asymptote of x = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.

Riley makes a mistake in step 2 while doing her homework. What was her mistake? Step 1: Step 2: Step 3: Step 4:

She added the two fractions incorrectly.

She used the wrong common denominator.

She did not distribute the negative correctly.

She did not multiply the first fraction by a factor.

The table below shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it.Flow rate, x(gal/hr)Time, y(hours)60300454003650030600How long will it take to fill the pool if two hoses are used, one that fills at a rate of 40 gallons per hour and one that fills at a rate of 60 gallons per hour?

100 hours

150 hours

180 hours

200 hours

The resistance, R, to electricity of a cylindrical-shaped wire is given by the equation , where p represents the resistivity of the wire’s material, L represents the length of the wire, and d represents the diameter of the wire. What happens to the resistance of the wire as the diameter approaches 0?