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

The correct option is i.e., .

Further Explanation:

Here, the function is given by the set of ordered pairs. The general form of the function is , where is domain of the function, is the range of the function and 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 .

The value of for different values of can be written as follows:

Given:

The function is .

Calculation:

Option (1)

Here, the value of is not defined, as the function doesn't have as an element of domain.

So, the given option is is not true for the given function.

Therefore, option (1) is incorrect.

Option (2)

Here, the value of is not defined, as the function doesn't have as an element of domain.

So, the given option is is not true for the given function.

Therefore, option (2) is incorrect.

Option (3)

Here, the value of is . But the value is in the given function.

So, the given option is is not true for the function.

Therefore, option (3) is incorrect.

Option (4)

Here, the value of is and the value is in the given function.

So, the given option is is true for the function.

Therefore, option (4) is correct.

Thus, the correct option is i.e., .

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.

b. t=-25h+3

step-by-step explanation:

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!