What is the first step in graphing the function $$f(x) = \frac{1}{x+3} - 2$$ ?

Determine the x and y Asymptotes (Vertical and Horizontal Asymptotes)

What is the first step in graphing the function $$\frac{x^2+2x-3}{x-2}$$ ?

Determine the x and y Asymptotes (Vertical and Horizontal Asymptotes)

What is the formula for finding the x-intercepts of a rational function?

Set the numerator equal to 0 and solve for x

Set the denominator equal to 0 and solve for x

Plug 0 into the simplified function and solve for y

Compare the degrees of the numerator and denominator.

Which of the following is true about horizontal asymptotes?

They occur where the numerator is zero

They are points where the graph crosses the axes

They are points where the function is undefined.

Which of the following is used to find the y-intercepts of a rational function?

Plug 0 into the simplified function

Compare the degrees of the numerator and denominator.

Describe the transformations from the parent function, f(x) = 1/x.

Shift right 9 units, shift up 2 units

Shift left 9 units, shift up 2 units

Shift right 9 units, shift down 2 units

Shift right 2 units, shift down 9 units

What is an asymptote?

an imaginary line that your function never touches

What is the domain of a rational function?

All real numbers except the vertical asymptote

All real numbers except the horizontal asymptote

What is the range of a rational function?

All real numbers except the horizontal asymptote

All real numbers except the vertical asymptote

If the original function is f(x), how will -f(x) transform f(x)?

Reflection of f(x) across the x-axis

One way stretch, parallel to x-axis, with scale factor 1/a

One way stretch, parallel to y-axis, with scale factor a

Translation of f(x) with vector (t , s)

Reflection of f(x) across the y-axis

Graphing and Transformations of Rational Functions Refresher

10th Grade

•

36 Qs

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Graphing and Transformations of Rational Functions Refresher

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF-IF.C.7D, HSF.BF.B.3, 8.F.A.1

Standards-aligned

Carla [SCHS]

Used 9+ times

FREE Resource

36 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the form of a rational function?

f(x) = p(x) + q(x)

f(x) = p(x) \times q(x)

f(x) = p(x) - q(x)

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

An asymptote is a line that a graph approaches but never ________.

A) touches

B) crosses

C) meets

D) intersects

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A) Vertical stretch

B) Vertical compression

C) Horizontal stretch

D) Horizontal compression

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Parabola

Hyperbola

Ellipse

Circle

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

All real Numbers except y=0

All real Numbers expect x=0

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