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
icang [17]
3 years ago
5

Given the graph below, which of the following statements is true?

Mathematics
2 answers:
Nesterboy [21]3 years ago
6 0

To be a function, it has to pass the vertical line test, which means a vertical line drawn anywhere in the graph should cut the graph only once, not more.

To be a one-to-one function, it has to pass the vertical line test as well as the horizontal line test, which means that a horizontal line drawn anywhere in the graph should cut the graph only once, not more.

<em>Of course, it passes the vertical line test, so its a function. </em>

<em>Does it pass the horizontal line test? </em><em>NO! </em><em>As shown in the attached picture, the blue line (horizontal line) cuts the graph at 3 places. We therefore eliminate choices A and B. We can eliminate choice C because nowhere is it required a function to pass through the origin for it to be one-to-one. Hence, the answer is D (blue line shows this).</em>

<em>ANSWER: D</em>

sesenic [268]3 years ago
3 0

The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.Option (d) is correct.

Further explanation:

The output values of the function are known as range and the input values on which function is defined is known as the domain of the function.

Given:

The options area as follows,

(a). The graph represents a one-to-one function because every x-value is paired with only one y-value.

(b). The graph represents a one-to-one function because it is defined for all x-values.

(c). The graph does not represent a one-to-one function because it does not pass through the origin.

(d). The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

Explanation:

The one-to-one function is a function in which every value of the range has exactly one pre-image in the domain.

One-to-one function always passes the vertical line test and the horizontal line test.

The given graph doesn’t pass the horizontal line test as the value of the function is 2 at two different values.

The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.Option (d) is correct.

Option (a) is not correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is correct.

Kindly refer to the image attached.

Learn more:

1. Learn more about inverse of the function brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Conic section

Keywords: one-to-one, onto, graph representation, paired, y-value, x-values, origin, multiple, single,translation, equation, parabola, shift left, shift right, horizontal, vertical, before translation, after translation.

You might be interested in
A new price of an item is $39.32. The percent increase was 16%. What was the original price?
Fiesta28 [93]

Answer:

let x =the original price

then 116x/100=$39.32

116x=100×39.32

116x=3932

divide both sides by 116

116x/116=3932/116

x=33.89655

(2dp)

x=33.90

4 0
3 years ago
The baby nursery has 2 nurses for every 10 babies. What is the nurse to baby ratio?
Artist 52 [7]

Answer

1:5

no of nurses: no of babies

2:10

step by step explanation :

divide both sides by the smallest i.e 2

you get

1:5

8 0
3 years ago
BRAINLIEST IF CORRECT
stellarik [79]
The answer is C. f(x) = 0.05 
4 0
3 years ago
Read 2 more answers
I need the answers please
LekaFEV [45]

all i can really say is it is a y angle

6 0
3 years ago
What is the truth about abc ? Somebody plz help me
Natasha2012 [34]
Tick first box. It is perpendicular
Tick second box. Since it is perpendicular, it is a right angle
Tick third box, the length on two sides of a triangle is the same.
ignore the last 2 answers.
3 0
3 years ago
Other questions:
  • Your college roommate receives a pay raise at her part-time job from $9 to $11 per hour. She used to work 25 hours per week, but
    6·1 answer
  • A truck left a warehouse at 1:00p.m the truck traveled 232 miles by 5:00p.m the truck continued traveling at the same average sp
    8·2 answers
  • lucas lives 5/8 mile from school.kenny lives twice as far as lucas from school.how many miles does kenny live from school
    11·1 answer
  • A map of Australia has a scale of 1 cm to 120 km. If the distance between Melbourne and Canberra is 463 km, how far apart are th
    9·1 answer
  • If a and b are the zeros of the quadratic polynomial 4x2+4x+1, find the value of a/b+b/a?
    12·1 answer
  • What is the equation of the graph
    15·1 answer
  • Given that f(x) = x2 – 3x - 10 and g(x) = x – 5, find (f - g)(x) and express
    11·2 answers
  • NO ONEIS ANSWERING MY QUETION PLEASE ANSWER FOR 10 POINTS
    8·2 answers
  • Solve 5(2x – 3) = x – 15 + 9x for x.
    7·1 answer
  • HELP ASAP I REALLY NEED IT MY HEAD HURT BECAUSE OF THIS PLS WOULD GIVE 30pts If Jim spins the spinner 16 times, how many times w
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!