Mathematics, 22.01.2020 05:31, FlamingSky

Which statement best describes the function below?
f(x)= x^3-x^2-9x+9

a. it is not a function.
b. it is a many-to-one function.
c. it fails the vertical line test.
d. it is a one-to-one function.

Answers: 2

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Answers

answered: coopyishome

It is a many-to-one function ⇒ answer B

Step-by-step explanation:

* To solve this problem lets revise some important notes

- We use the vertical line to check the graph is function or not

# If the vertical line cuts the graph in any part of it in only 1 point

then the graph represents a function

# If the vertical line cuts the graph in any part of it in more than 1

point then the graph doesn't represent a function

- We use the horizontal line to check the graph is one-to-one function

or many-to-one function

# If the horizontal line cuts the graph in any part of it in only 1 point

then the graph represents one-to-one function

# If the horizontal line cuts the graph in any part of it in more than 1

point then the graph represents many-to-one function

* Now lets use these notes to solve the problem

- Look to the attached graph

∵ The vertical lines x = -2 and x = 2 intersect the graph of f(x) in

only one point

∵ Any vertical line will cut the graph of f(x) in only one point

∴ f(x) is a function

- So answers A and C are not true, because it succeeds the vertical

line test and it is a function

∵ The horizontal lines y = -4, y = 4, and y = 11 intersect the graph of f(x)

in more the one point one point

∴ f(x) is many-to-one function

- So answer D is not true, because f(x) is many-to-one function

∴ Answer B is true because f(x) is many-to-one function

Which statement best describes the function below? f(x)= x^3-x^2-9x+9 a. it is not a function. b. i

answered: safiyyahrahman6907

B. It is a many-to-one function.

Step-by-step explanation:

It is a function because for every x values there is only one correspondent y value. Therefore it pass the vertical line test. So, option A and C are not correct. In the figure attached, a plot of the function can be seen. It is notice that different x values gives the same y value. In consequence, it is a many-to-one function. One-to-one functions are those in which every y value correspond to exactly one x value.

answered: Guest

ian gone lie this got me confused

step-by-step explanation:

answered: Guest

Ugh h h t t u i i vick u

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Do you know the correct answer?

Which statement best describes the function below?
f(x)= x^3-x^2-9x+9

a. it is no...