What is the range of f(x)=2x-3 when the domain is {3, 4, 5}?
If the domain is just those integers, the range is 3, 5 and 7.
Well, if the domain of your function is {3, 4, 5}, then let's plug those numbers into f(x)=2x-3 and see what happens!
For x = 3: f(3) = 2(3) - 3 = 6 - 3 = 3
For x = 4: f(4) = 2(4) - 3 = 8 - 3 = 5
For x = 5: f(5) = 2(5) - 3 = 10 - 3 = 7
So, the range of f(x) when the domain is {3, 4, 5} is {3, 5, 7}. It's like a little club of numbers having a party!
To find the range of the function f(x)=2x-3, when the domain is {3, 4, 5}, we need to substitute each value of the domain into the function and determine the corresponding output.
1. For x = 3:
f(3) = 2(3) - 3
= 6 - 3
= 3
2. For x = 4:
f(4) = 2(4) - 3
= 8 - 3
= 5
3. For x = 5:
f(5) = 2(5) - 3
= 10 - 3
= 7
So, when the domain is {3, 4, 5}, the range of f(x)=2x-3 is {3, 5, 7}.
To find the range of the function f(x) = 2x - 3 when the domain is {3, 4, 5}, we need to evaluate the function for each value in the domain set and determine the corresponding output values.
Given the domain set {3, 4, 5}, we can substitute each value into the function f(x) = 2x - 3.
For x = 3: f(3) = 2(3) - 3 = 6 - 3 = 3
For x = 4: f(4) = 2(4) - 3 = 8 - 3 = 5
For x = 5: f(5) = 2(5) - 3 = 10 - 3 = 7
The range of f(x) = 2x - 3 for the given domain is {3, 5, 7}.