1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MaRussiya [10]
3 years ago
9

Which statements are true of functions? Check all that apply.

Mathematics
2 answers:
weeeeeb [17]3 years ago
3 0

Answer:

The correct statements that are true to functions are :

  • All functions have a dependent variable.
  • All functions have an independent variable.

These above two can be explained as : We write a function as y = f(x), where x is the independent variable, and y is dependent as it depends on x values.

  • A horizontal line is an example of a functional relationship.

Rest all options are incorrect.

svetoff [14.1K]3 years ago
3 0

Answer:

The correct options are:

Option A: All functions have a dependent variable.

Option B: All functions have an independent variable.

Option E: A horizontal line is an example of a functional relationship.

Step-by-step explanation:

Consider the provided information.

Function: A function is a relationship where each input has only one output.

Which is denoted by "y=f(x)" where x is input value, also the variable x is independent and y is dependent.

Each input value has exactly one output value vice versa is not true.

Vertical line test: A equation is said to be a function if all vertical lines intersect the graph at most once.

Now consider the provided options:

Option A: All functions have a dependent variable.

This option is true, by the above definition of function.

Option B: All functions have an independent variable.

This option is true, by the above definition of function.

Option C: The range of a function includes its domain.

This option is false.

Understand this with the help of an example:

Consider the function y=x^2

The range of the function is [0,∞) and domain of the function (-∞,∞).

Here range doesn't contains the domain.

Thus this option is wrong.  

Option D: vertical line is an example of a functional relationship.

The equation of the vertical line is x=a where a can be any real number.  

We have different values of y for a unique x also the function fails the vertical line test.

Thus the option D is False.

Option E: A horizontal line is an example of a functional relationship.

The equation of horizontal line is y=a where a can be any real number.

For each input has only one output also it satisfy the vertical line test. We will have same value of y for any x.  Which satisfy the property of function.

Thus this option is true.

Option F: Each output value of a function can correspond to only one input value by definition of function.

Understand this with the help of an example:

Consider the function y=a

The function has same output value for each input value. Which is the contradictory to the option's statement.

Thus, this option is false.

The correct options are:

Option A: All functions have a dependent variable.

Option B: All functions have an independent variable.

Option E: A horizontal line is an example of a functional relationship.

You might be interested in
A basketball player made 63 out of 100 attempted free throws.what percent of free throws did the player make
Savatey [412]

Answer:

63%

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
MULTIPLE CHOICE
Dvinal [7]

Step 1) Multiply 2 by 3

<em>5x+6 = 2x+3x+6</em>

Step 2) Combine like terms

<em>5x+6 = 5x+6</em>

Step 3) Add 5x and 6 to both sides

Answer:

<em>0 = 0</em>

4 0
3 years ago
Help please:((( p.s the last word is bill
zalisa [80]
Each egg is a 1$.49 so add 2 which will be $3.48 then add $1.49 gfor the bacon which will be 5.33 then 1.09 which will be $6.42 then add tax so 6.90 is her total and subtract 10$ from 6.90 she got 3.10 in change
8 0
3 years ago
Read 2 more answers
What is the answer to (-2)^4=n
azamat
(-2)^4 = (-2) (-2) (-2) (-2)  = 16
so n = 16
7 0
3 years ago
Read 2 more answers
From a board 8 feet in length, emmet cut two 2 1/3 foot bookshelves. how much of the board remained?
quester [9]
Two 2 1/3 + 2 1/3 = 4 2/3

8/1 - 4 2/3 =

14/3 - 8/1 = 6/2
8 0
3 years ago
Other questions:
  • What's 2/13 times 26 2/5
    13·2 answers
  • To mix his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.
    15·1 answer
  • The answer to this question
    9·1 answer
  • (25 Points) What is the area of a triangle that has a base of 3 feet and a height of 6 feet?
    12·2 answers
  • Is 3/5 equivalent to 6/11
    5·1 answer
  • Each lap around a track is 1/4 mile. How many laps would tou have to run for a 3-mile workout?
    7·2 answers
  • Please help, i’ll give brainliest!!!
    8·1 answer
  • The lengths of two sides of a triangle are 4 feet and 7 feet. Which could NOT be the length of the third side?
    9·2 answers
  • 5.5, 5.054, 5.0090,5.05<br>arrange in ascending<br>order​
    8·1 answer
  • Find the slope of the line that passes through the points (2,4) and (6,12)?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!