Give an example of a function whose domain is {2,5,7} and whose range is {-1,0,3}?
how about
y = (7/30)x^2 - (117/90)x + 2/3 , x ∈ {2,5,7}
(test it, it works)
Which of the following is the graph of the linear function whose domain is -2, 2 and whose range is -1, 3?
To create a function with the given domain and range, we need to assign each element in the domain to an element in the range. Let's create a function f where f(2) = -1, f(5) = 0, and f(7) = 3.
So, this function can be represented as:
f(2) = -1
f(5) = 0
f(7) = 3
This function satisfies the condition that the domain is {2, 5, 7} and the range is {-1, 0, 3}.
To find a function with a given domain and range, we need to find a rule that maps each element from the domain to an element in the range.
In this case, we can define a function as follows:
f(2) = -1
f(5) = 0
f(7) = 3
This means that when the input is 2, the output is -1; when the input is 5, the output is 0; and when the input is 7, the output is 3.
In general, to define a function, you need to specify the mapping between inputs and outputs. In this case, we have explicitly defined the outputs for the given inputs.
Remember that the domain represents the set of possible inputs for the function, and the range represents the set of possible outputs.