Please Help:)
What is the range of f(x)=3x-5 when the domain is {-6,4,8}?
Do I just plug in the domains for x?
Thanks! Got it!;)
yes,
f(-6) = -18-5 = -23
f(4) = 12 - 5 = ........
f(8) = ........
range = { -23, ..... , .... }
Yes, you are correct. To find the range of the function f(x) = 3x - 5 when the domain is {-6, 4, 8}, you can plug in each value from the domain set and evaluate the function. The range is the set of all possible outputs or values that f(x) can take.
Let's go step by step:
1. Start with the given function, f(x) = 3x - 5.
2. Take the first value from the domain set, -6. Plug it into the function: f(-6) = 3(-6) - 5.
3. Evaluate the expression: f(-6) = -18 - 5 = -23.
4. Now move on to the next value from the domain set, 4. Plug it into the function: f(4) = 3(4) - 5.
5. Evaluate the expression: f(4) = 12 - 5 = 7.
6. Finally, take the last value from the domain set, 8. Plug it into the function: f(8) = 3(8) - 5.
7. Evaluate the expression: f(8) = 24 - 5 = 19.
After evaluating the function for each value in the domain set, we get the following outputs: {-23, 7, 19}.
Therefore, the range of f(x) = 3x - 5, when the domain is {-6, 4, 8}, is {-23, 7, 19}.