Describe the transformations of the function.

Shifted right by 4 units Shifted down by 7 units Stretched Vertically

Shifted right by 4 units Shifted up by 7 units Stretched Vertically

Shifted right by 4 units Shifted down by 7 units Compressed Vertically

Shifted left by 4 units Shifted down by 7 units Compressed Vertically

Describe the transformation of the function.

Shift right by 2 units Compressed vertically

Shift left by 2 units Compressed vertically

Shift right by 2 units Stretched vertically

Shift down by 2 units Compressed vertically

Write the equation that represents the following function: The reciprocal parent function is translated up 5 units and reflected across the x-axis.

f ( x ) = − 1 x + 5 f\left(x\right)=\frac{-1}{x}+5 f ( x ) = x − 1 + 5

f ( x ) = 1 x + 5 f\left(x\right)=\frac{1}{x}+5 f ( x ) = x 1 + 5

f ( x ) = − 1 x + 5 f\left(x\right)=\frac{-1}{x+5} f ( x ) = x + 5 − 1

f ( x ) = 1 x + 5 f\left(x\right)=\frac{1}{x+5} f ( x ) = x + 5 1

For which reciprocal function are the x- and y-values for the asymptotes the same?

f ( x ) = 1 x + 4 − 4 f\left(x\right)\ =\ \frac{1}{x+4}-4 f ( x ) = x + 4 1 − 4

f ( x ) = − 4 x − 4 f\left(x\right)=\ \frac{-4}{x-4} f ( x ) = x − 4 − 4

f ( x ) = − 4 x − 3 − 4 f\left(x\right)\ =\ \frac{-4}{x-3}\ -\ 4 f ( x ) = x − 3 − 4 − 4

f ( x ) = 4 x + 4 f\left(x\right)\ =\ \frac{4}{x}\ +4 f ( x ) = x 4 + 4

f(x) f ( x ) = 1 x + 4 + 4 f\left(x\right)\ =\ \frac{1}{x+4}\ +4 f ( x ) = x + 4 1 + 4

Consider the graph of the function f ( x ) = − 1 x − 1 + 1 f\left(x\right)\ =\ \frac{-1}{x-1}+1 f ( x ) = x − 1 − 1 + 1 Which statements about this function are true? Choose all that apply.

It has an asympotote at f(x) = 1

g ( x ) = − 8 x − 1 g\left(x\right)\ =\ \frac{-8}{x\ -1} g ( x ) = x − 1 − 8 has the same asympototes but is stretched taller

Its transformation from f\left(x\right)\ =\ \frac{1}{x} f ( x ) = x 1 includes a transformation 1 unit up.

Its transformation from f ( x ) = 1 x f\left(x\right)\ =\ \frac{1}{x} f ( x ) = x 1 includes a transformation 1 unit down.

G10 QZ.13 Reciprocal Functions

Authored by rehab serhan

Mathematics

10th Grade

CCSS covered

Used 2+ times

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16 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the function y = 3/x what is the x-intercept?

x = 3

x = 1

y = 3

DNE

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the equation of y = 1/x, and y = a/x. Which statement about a would be true in order to show a shrink effect?

a < 1

a > 1

a = 1

a must be negative

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given the graphed equation of y = 1/x, and y = a/x. What is an appropriate value of a?

-1

-4

0.5

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSA.CED.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the equation of the graphed function?

y = (1 / x) + 2

y = (1 / x) - 2

y = 1 / (x + 2)

y = 1 / (x - 2)

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following represents the graph below?

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the range for the following function?

All real numbers.

All real numbers except for -2.

All real numbers except for 2.

All real numbers exceptt for 4.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the horizontal asymptote of the following function?

x = -2

x = 2

y = -3

y = 3

Tags

CCSS.HSF-IF.C.7D

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G10 QZ.13 Reciprocal Functions

Given the function y = 3/x what is the x-intercept?

Given the equation of y = 1/x, and y = a/x. Which statement about a would be true in order to show a shrink effect?

Given the graphed equation of y = 1/x, and y = a/x. What is an appropriate value of a?

What is the equation of the graphed function?

Which of the following represents the graph below?

What is the range for the following function?

What is the horizontal asymptote of the following function?

Describe the transformations of the function.

Describe the transformation of the function.

Which of the following is NOT a vertical asymptote of the function?

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