The domain of t(x) = -3.8x - 4.2 is {-3, -1.4, 0, 8}. What is the range?
plug each x into your equation and the answer for each is your range (y-value)
I'll do one
-3.8x - 4.2 for x = -3
y = -3.8(-3) - 4.2
y = 11.4 - 4.2
y = 7.2
so y = 7.2 is incl. in the range
repeat for each x value
Thanks helper you helped a lot hahahha I can now finish my math hw and thanks melanie good question. Andrea you were useless but ily anyway
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To find the range of a function, we need to calculate the corresponding values of the function for each element in the domain and determine the set of all possible outputs.
Let's calculate the values of t(x) for each element in the given domain:
For x = -3:
t(-3) = -3.8(-3) - 4.2
t(-3) = 11.4 - 4.2
t(-3) = 7.2
For x = -1.4:
t(-1.4) = -3.8(-1.4) - 4.2
t(-1.4) = 5.32 - 4.2
t(-1.4) = 1.12
For x = 0:
t(0) = -3.8(0) - 4.2
t(0) = 0 - 4.2
t(0) = -4.2
For x = 8:
t(8) = -3.8(8) - 4.2
t(8) = -30.4 - 4.2
t(8) = -34.6
Therefore, the range of the function t(x) = -3.8x - 4.2, for the given domain {-3, -1.4, 0, 8}, is {7.2, 1.12, -4.2, -34.6}.
To find the range of a function, we need to determine the set of all possible output values. In this case, the function t(x) = -3.8x - 4.2 is a linear function, where x is the input variable.
To find the range, we need to substitute each value from the domain into the function and evaluate it.
Let's go through each value in the domain and calculate the corresponding output:
1. For x = -3:
t(-3) = -3.8(-3) - 4.2
= 11.4 - 4.2
= 7.2
2. For x = -1.4:
t(-1.4) = -3.8(-1.4) - 4.2
= 5.32 - 4.2
= 1.12
3. For x = 0:
t(0) = -3.8(0) - 4.2
= 0 - 4.2
= -4.2
4. For x = 8:
t(8) = -3.8(8) - 4.2
= -30.4 - 4.2
= -34.6
Now, we have the following output values:
t(-3) = 7.2
t(-1.4) = 1.12
t(0) = -4.2
t(8) = -34.6
The range is the set of all resulting output values from the function, which in this case is {-4.2, 1.12, 7.2, -34.6}.
So, the range of the function t(x) = -3.8x - 4.2 is {-4.2, 1.12, 7.2, -34.6}.