5.2 Simple Rational Functions

Presentation

•

Mathematics

•

9th - 12th Grade

•

Hard

•

CCSS

HSF-IF.C.7D, HSF.BF.B.3, HSA.APR.D.7

Standards-aligned

Sean Brown

Used 2+ times

FREE Resource

6 Slides • 11 Questions

5.2 Graph Simple Rational Functions

By Sean Brown

Parent Function
f(x) = 1/x

Transformations

How to Graph

Multiple Choice

Identify the horizontal and the vertical asymptotes of the function shown in the graph.

horizontal asymptote: y = -3; vertical asymptote: x = -4

horizontal asymptote: x = 3; vertical asymptote: y = -4

horizontal asymptote: y = -3; vertical asymptote: x = 4

horizontal asymptote: x = -3; vertical asymptote: y = 4

Multiple Choice

The graph below is a transformation of the parent function f(x) = 1/x. Write the equation of the graph.

g(x) = 1/(x+3) - 4

g(x) = 1/(x-) + 4

g(x) = 1/(x+3) + 4

g(x) = 1/(x-3) - 4

Multiple Choice

Which of the following represent the graph?

Multiple Choice

What is the horizontal asymptote?

x = 2

x = 7

y = 2

y = 7

Multiple Choice

How is this function transformed from the parent function?

Translated left and up

Translated right and up

Translated left and down

Translated right and down

Multiple Choice

Describe all transformations from the parent function g(x)=1/x to f(x).

Shift right 5 and shift up 7

Shift left 7 and shift up 5

Reflect over the x-axis, shift up 7

Shift left 5 and shift up 7

Average Cost

in this equation a is the amount of time or number of items being averaged and b is the initial cost.

Example

a gym charges a $20 sign up fee and then $35 per month. Write an equation to find the average cost per month for m months.

Multiple Choice

A sports equipment supplier sells footballs for $4.59 per football and charges $45 in shipping. Write an expression for the average cost per ball of both suppliers.

$4.59x+45$

$45x+4.59$

$\frac{4.59x+45}{x}$

$\frac{45x+4.59}{x}$

Multiple Choice

From the previous problem, the average cost of a football was $\frac{4.59x+45}{x}$ . What would be the average cost of each football if 35 footballs are ordered from the sports store?

$205.65

$5.88

$4.59

$460.29

Multiple Choice

A softball player has had 13 base hits out of 43 at bats. What is their current batting average?

3.308

.302

.130

.430

Multiple Choice

A softball player has had 13 base hits out of 43 at bats. Which expression shows his batting average if he has x more at bats and hits all x of them?

$\frac{13}{43}$

$\frac{13}{43+x}$

$\frac{13+x}{43}$

$\frac{13+x}{43+x}$

Multiple Choice

Two T-shirt companies sell shirts at different prices. Company A charges a $23 set up fee and $2.29 per shirt. Company B charges $1.99 per shirt and a $35 set up fee. A school club wants to order 20 shirts. Which company has the lowest average cost per shirt?

Company A with an average cost of $3.44

Company B with an average cost of $3.74

Company A with an average cost of $23.11

Company B with an average cost of $35.10

Company A with an average cost of $3.22

5.2 Graph Simple Rational Functions

By Sean Brown

Show answer

Auto Play

Slide 1 / 17

SLIDE

Similar Resources on Wayground

13 questions

Solving Logarithmic Equations

Presentation

•

9th - 12th Grade

13 questions

Solving Systems w/Matrices

Presentation

•

9th - 12th Grade

13 questions

Using the Unit Circle

Presentation

•

9th - 12th Grade

10 questions

Absolute Value Equations

Presentation

•

9th - 12th Grade

12 questions

Lesson 9-3 Geometric Sequences

Presentation

•

9th - 12th Grade

12 questions

Writing Linear Equations From Two Points

Presentation

•

9th - 12th Grade

11 questions

Factoring: Quadratic Trinomial when a=1

Presentation

•

9th - 12th Grade

13 questions

Writing Linear Functions

Presentation

•

9th - 12th Grade

Popular Resources on Wayground

24 questions

PBIS-HGMS Day 10

Quiz

•

6th - 8th Grade

10 questions

HCS SCI 03 Summer School Review 3

Quiz

•

3rd Grade

11 questions

Home Scope

Quiz

•

7th - 8th Grade

15 questions

HCS SCI 05 Summer School Assessment 3 Review

Quiz

•

5th Grade

35 questions

Lufkin Road Middle School Student Handbook & Policies Assessment

Quiz

•

7th Grade

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade

Discover more resources for Mathematics

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade

5.2 Simple Rational Functions

​5.2 Graph Simple Rational Functions

Transformations

How to Graph

Average Cost

Example

​5.2 Graph Simple Rational Functions

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

5.2 Graph Simple Rational Functions

5.2 Graph Simple Rational Functions