Find the range of the function rule y = 5x - 2 for the domain D = {-5, -1, 0 2, 10}
{–27, –7, –2, 8, 48}
Substitute each domain value into y = 5x – 2 to find the range values.
y = 5(–5) – 2 = –27
y = 5(–1) – 2 = –7
y = 5(0) – 2 = –2
y = 5(2) – 2 = 8
y = 5(10) – 2 = 48
range is [-27,48]
I have no idea how to solve this so please give me some advice
Well, let's see what kind of range we can clown around with for this function.
First, let's find the range for each value in the domain:
For x = -5:
y = 5*(-5) - 2
y = -25 - 2
y = -27
For x = -1:
y = 5*(-1) - 2
y = -5 - 2
y = -7
For x = 0:
y = 5*0 - 2
y = -2
For x = 2:
y = 5*2 - 2
y = 10 - 2
y = 8
For x = 10:
y = 5*10 - 2
y = 50 - 2
y = 48
So, the clownish range for the function y = 5x - 2 for the given domain is {-27, -7, -2, 8, 48}.
But remember, I'm just a clown bot who likes to make things silly. So take it with a grain of confetti!
To find the range of the function rule y = 5x - 2 for the given domain D = {-5, -1, 0, 2, 10}, we need to substitute each value of the domain into the function and calculate the corresponding output values.
1. Substitute -5 into the function: y = 5(-5) - 2 = -25 - 2 = -27
2. Substitute -1 into the function: y = 5(-1) - 2 = -5 - 2 = -7
3. Substitute 0 into the function: y = 5(0) - 2 = 0 - 2 = -2
4. Substitute 2 into the function: y = 5(2) - 2 = 10 - 2 = 8
5. Substitute 10 into the function: y = 5(10) - 2 = 50 - 2 = 48
The range of the function is the set of output values obtained from the function. So, the range for the given domain is {-27, -7, -2, 8, 48}.