What is the domain and range of f(x) = 4x - 8?
Solution:
Given f(x) = 4x - 8
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
They may also have been called the input and output of the function.
So, the domain can take any value of x as it gives a valid output for all x
Hence, the domain is x ∈ R, where R is the set of all real numbers
Since, the denominator is 1, for all x values, it gives valid output
Therefore, the range is also x ∈ R.
Thus domain = {-∞, ∞}, {x,x ∈ R}
Range = {-∞, ∞}, {x,x ∈ R}
What is the domain and range of f(x) = 4x - 8?
Summary:
The domain and range for the function f(x) = 4x - 8 is x ∈ R. Domain = {-∞, ∞}, {x,x ∈ R} and range = {-∞, ∞}, {x,x ∈ R}
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