Mathematics, 21.09.2019 18:30 KRAL165

Which of the following graphs represents a function?

Answers: 2

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Answer from: avahrider1

1st Graph

Step-by-step explanation:

A simple way to test if a relation may be taken as a function is by applying the Vertical Line Test. If a Vertical Line crosses the graph only once, then it is a function. In this question, only the first one can be considered to be a function.

Because in other words, only the first graph shows one value for x corresponding to another for y value. Not the case for the second and the third graph displaying two values for x for each y value.

Answer from: nadarius2017

Graph (a) is function as it passes the vertical line test as well as the horizontal line test.

Further explanation:

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.

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.

Graph (a) is function as it passes the vertical line test as well as the horizontal line test.

Graph (b) is not a function as it doesn’t passes the vertical line test as well as the horizontal line test.

Graph (c) is not a function as it doesn’t passes the vertical line test as well as the horizontal line test.

Graph (d) is not a function as it doesn’t passes the vertical line test as well as the horizontal line test.

Learn more:

Learn more about inverse of the function link. Learn more about equation of circle link. Learn more about range and domain of the function link.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Relation and Function

Keywords: relations, functions, all relation are functions, all functions are relations, no relations are functions, no functions are relation, one-to-one, onto, graph representation, paired, y-value, x-values, origin.

Answer from: Quest

6/9 i need more characters in my answer

Answer from: Quest

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has vertices $p(1,2),q(2,1),r(3,2),s(3,3)$ recall that for counterclockwise rotation about the origin, $(x,y)\rightarrow (-x,-y)$ when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will become $p1( - 1, - 2),q1( - 2, - 1),r1( - 3, - 2),s1( - 3, - 3)$ next, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain, $p'(1, - 2),q'(2, - 1),r'(3, - 2),s'(3, - 3)$ therefore the correct answer is c

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