Mathematics, 27.11.2019 20:31, hooplikenari

The function f(x) is given by the set of ordered pairs.

{(8, –3), (0, 4), (1, –5), (2, –1), (–6, 10)}

which is true regarding the function?

f(–3) = 8
f(3) = 5
f(8) = 0
f(–6) = 10

Answers: 3

Show answers

Answers

answered: soom6080

The correct option is $\boxed{\bf option (4)}$ i.e., $\boxed{f(-6)=10}$ .

Further Explanation:

Here, the function is given by the set of ordered pairs. The general form of the function is $\{(x,y)|\ x,y\in\mathbb{R}\}$ , where is domain of the function, is the range of the function and $\mathbb{R}$ denotes the set of real numbers.

The domain of a function is the set of all those points where the function is defined that is all the possible values of such that the function gives the output .

The range of the function is defined as all the values of when (domain) is defined.

The function is $\{(8,-3),(0,4),(1,-5),(2,-1),(-6,10)\}$ .

The value of f(x) for different values of can be written as follows:

$\boxed{f(8)=-3, f(0)=4, f(1)=-5, f(2)=-1\text{ and }f(-6)=10}$

Given:

The function is $\{(8,-3),(0,4),(1,-5),(2,-1),(-6,10)\}$ .

Calculation:

Option (1)

Here, the value of f(-3) is not defined, as the function $\{(8,-3),(0,4),(1,-5),(2,-1),(-6,10)\}$ doesn't have as an element of domain.

So, the given option is f(-3)=8 is not true for the given function.

Therefore, option (1) is incorrect.

Option (2)

Here, the value of f(3) is not defined, as the function $\{(8,-3),(0,4),(1,-5),(2,-1),(-6,10)\}$ doesn't have as an element of domain.

So, the given option is f(3)=5 is not true for the given function.

Therefore, option (2) is incorrect.

Option (3)

Here, the value of f(8) is . But the value f(8) is in the given function.

So, the given option is f(8)=0 is not true for the function.

Therefore, option (3) is incorrect.

Option (4)

Here, the value of f(-6) is and the value f(-6) is in the given function.

So, the given option is f(-6)=10 is true for the function.

Therefore, option (4) is correct.

Thus, the correct option is $\boxed{\bf option (4)}$ i.e., $\boxed{f(-6)=10}$ .

Learn more

1. Learn more about range of the function

2. Learn more about domain of the function

3. Learn more about domain and range of the function

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Relation and Function

Keywords: Function, range, domain, relation, ordered pairs, sets, real numbers, ordinates, abscissa, co-domain, interval , open interval, closed intervals, semi-closed intervals, semi-open intervals.

answered: Guest

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

answered: Guest

answer: 40.95

step-by-step explanation: