Mathematics, 23.01.2021 02:30 janayflowers042

Which parent functions go through the origin? Select all that apply. A. Cubic
B. Reciprocal
C. Quadratic
D. Absolute value
E. Linear
F. Cube root

Which parent functions go through the origin? Select all that apply.

A. Cubic
B. Reciprocal
C. Qu

Answers: 1

Show answers

Answers

Answer from: wirchakethan23

The parent function is the base of a function family.

The functions that go through the origin are:

A. Cubic C. Quadratic D. Absolute value E. Linear F. Cube root

The origin is represented as: (0,0)

A. Cubic function

A cubic function is represented as:

y = x^3

Substitute 0 for x

y = 0^3

y = 0

This means that it passes through origin at (0,0)

B. Reciprocal function

A reciprocal function is represented as:

$y =\frac 1x$

Substitute 0 for x

$y =\frac 10$

y = und efine d

This means that it does not pass through origin at (0,0)

C. Quadratic function

A quadratic function is represented as:

y = ax^2

Substitute 0 for x

$y = a \times 0^2$

y = 0

This means that it passes through origin at (0,0)

D. Absolute function

An absolute function is represented as:

y = |x|

Substitute 0 for x

y = |0|

y = 0

This means that it passes through origin at (0,0)

E. Linear function

A linear function is represented as:

y = mx

Substitute 0 for x

$y = m \times 0$

y = 0

This means that it passes through origin at (0,0)

F. Cube root function

A cube root function is represented as:

$y = \sqrt[3]{x}$

Substitute 0 for x

$y = \sqrt[3]{0}$

y = 0

This means that it passes through origin at (0,0)

Hence, the base functions of all the function except the reciprocal function pass through the origin

Another question on Mathematics

Mathematics, 21.06.2019 13:40

The cash price of a television is $580.the hire-purchase price of the television is $865.the hire-purchase price is an initial deposit of n% of the cash price and 6 equal monthly payments of $120.find the value of n.

Answers: 1

Answer

Mathematics, 21.06.2019 15:30

Aiden drives to school and back each day. the school is 16 miles from his home. he averages 40 miles per hour on his way to school. if his trip takes 1 hour, at approximately what speed does aiden drive home?

Answers: 1

Answer

Mathematics, 21.06.2019 17:30

Monthly water bills for a city have a mean of $108.43 and a standard deviation of $32.09. find the probability that a randomly selected bill will have an amount greater than $155, which the city believes might indicate that someone is wasting water. would a bill that size be considered unusual?

Answers: 2

Answer

Mathematics, 21.06.2019 19:00

To solve the system of equations below, pedro isolated the variable y in the first equation and then substituted it into the second equation. what was the resulting equation? { 5y=10x {x^2+y^2=36

Answers: 1

Answer

You know the right answer?

Which parent functions go through the origin? Select all that apply. A. Cubic
B. Reciprocal

Questions