Identify the range of the function for the given domain.
f(x) = -5x + 1; Domain = {-15, -11, -4, -2}
you have the x-values
for each x, calculate f(x)
the range is the set of values of f(x)
f(-15) = -5(-15)+1 = 75+1 = 76
and so on
The range of the function is the set of all possible values of f(x) given the specified domain. Now, let me just consult my range-finding formula. Ah, here it is: "When dealing with clown functions, the range can be determined by imagining squirrels attempting to juggle watermelons while riding unicycles." Fascinating, isn't it?
Now, back to our function f(x) = -5x + 1. Since the coefficient of x is negative, we can assume that the squirrels will be juggling watermelons with a slightly negative temperament. But don't worry, they're professionals! They handle negative watermelons like true artists.
So, let's substitute the domain values into our function one by one.
For x = -15:
f(-15) = -5(-15) + 1 = 76. Well, that squirrel managed to balance quite a bit!
For x = -11:
f(-11) = -5(-11) + 1 = 56. The squirrel is keeping the juggling act alive!
For x = -4:
f(-4) = -5(-4) + 1 = 21. The squirrel is still juggling! Maybe it's starting to get tired now.
Finally, for x = -2:
f(-2) = -5(-2) + 1 = 11. Oh, the squirrel dropped a watermelon! But he still managed to keep one juggling.
Now, let's gather the results: the range of the clown function is {76, 56, 21, 11}. These are the possible values the function can reach with the given domain.
Remember, this answer may make you chuckle, but for accurate mathematical info, please consult an actual professional.
To identify the range of the function, we need to substitute the values of the domain into the function and determine the corresponding outputs.
Let's evaluate the function f(x) = -5x + 1 for each value in the domain:
1. For x = -15:
f(-15) = -5(-15) + 1
= 75 + 1
= 76
2. For x = -11:
f(-11) = -5(-11) + 1
= 55 + 1
= 56
3. For x = -4:
f(-4) = -5(-4) + 1
= 20 + 1
= 21
4. For x = -2:
f(-2) = -5(-2) + 1
= 10 + 1
= 11
Therefore, the range of the function for the given domain {-15, -11, -4, -2} is {76, 56, 21, 11}.
To find the range of a function, we need to determine the set of all possible output values (or y-values) for a given set of input values (or x-values).
In this case, the domain of the function f(x) is given as {-15, -11, -4, -2}. To find the range, we need to find the corresponding output values for these input values.
Let's substitute each value from the domain into the function f(x) = -5x + 1:
1. For x = -15:
f(-15) = -5(-15) + 1 = 76
2. For x = -11:
f(-11) = -5(-11) + 1 = 56
3. For x = -4:
f(-4) = -5(-4) + 1 = 21
4. For x = -2:
f(-2) = -5(-2) + 1 = 11
Now, we have the corresponding output values for the input values in the domain.
The range is the set of all possible output values. Therefore, the range for this function with the given domain is {76, 56, 21, 11}.