Let g be a function. Which statements are true for all functions g?

Select all that apply.

1. The function g assigns each element of the domain exactly one element of the range.

2. The value of g (a) is the output of g corresponding to the input a.

3. The function g assigns each element of the domain exactly two element of the range.

4. For an element x in the range, g (x) represents an element in the domain.

Question

Mathematics

Shiloh Brennan

16 January, 06:52

Let g be a function. Which statements are true for all functions g?

Select all that apply.

1. The function g assigns each element of the domain exactly one element of the range.

2. The value of g (a) is the output of g corresponding to the input a.

3. The function g assigns each element of the domain exactly two element of the range.

4. For an element x in the range, g (x) represents an element in the domain.

+1

Answers (1)

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Carlee Lucero · Answer 1

The statements that are true for all functions g.

The function g assigns each element of the domain exactly one element of the range.

The value of g (a) is the output of g corresponding to the input a.

Options: 1, 2.

Step-by-step explanation:

A function is a set of relations that result in some outcome. In Maths, any function for a number will result in another number.

The Domain is the collection of numerical values that can be applied in the function and Range is the collection of the output values obtained by applying the domain into the function.

A function is a relation but not all relations are function. For a function, each input has only one output.

Any input value eg: a is applied to the function (g), then its output will be interrelated to the input value i. e. g (a).