The correct equation matches the set of ordered pairs of functions:
<u><em>C.f (0) = 6 </em></u>
<h3>Further explanation </h3>Set A to set B is said to be a function if each member of set A pairs is exactly one member of set B
So, one value of x is only assigned to one value of y
or <em>it has only one relationship for each input value </em>
A function can be expressed in the form of a cartesian diagram, the set of ordered pairs, or arrow diagram
If y is a function of x, then y = f (x)
where x is the independent variable and y is the dependent variable
x is the domain and y is the result area or range
A function can be write as ordered pair
Ordered pairs because we write the input first, and then the output
Can be described in form
<h3>(input, output) </h3><em>or </em>
So A function can be formed as a set of ordered pairs:
For example a set of ordered pairs
- (2,4), (3,5), (4,6)
input values (as domain) 2,3,4
output values (as range) 4,5,6.
We complete the questions with answer choices :
The function f (x) is given by the set of ordered pairs. {(1,0), (–10,2), (0,6), (3,17), (–2, –1)}:Which equation is true?
f(-10)=1
f(2)=-10
f(0)=6
f(1)=-10
Let see the answer choices :
- f (-10) = 1
values x = -10, f (x) = y = 1, ordered pairs (-10,1)
- f (2) = - 10
values x = 2, f (x) = y = -10, ordered pairs (2, -10)
- f (0) = 6
value x = 0, f (x) = y = 6, ordered pairs (0.6)
- f (1) = - 10
values x = 1, f (x) = y = -10, ordered pairs (1, -10)
So the answer choices that correspond to the set of ordered pairs of functions above are choices C.f (0) = 6
<h3>Learn more </h3>
F (x) = x2 + 1 g (x) = 5 - x
the inverse of the function f (x) = 2x-10
domain of the function
Keywords: domain, function, the set of ordered pairs, input, output
