Find the domain for the rational function f of x equals quantity x plus 1 end quantity divided by quantity x minus 2 end quantity.
(−∞, 2) (2, ∞)
(−∞, −2) (−2, ∞)
(−∞, 1) (1, ∞)
(−∞, −1) (−1, ∞)

Option 1.

Step-by-step explanation:

If a rational function is defined as , then the domain of the rational function is the intersection of domains of p(x) and q(x) except those values for which q(x)=0.

The given rational function is

We need find the domain of the given function.

Here, the numerator and denominator both functions are polynomial and domain of a polynomial function is all real number.

So, domain of the given function is all real number except those values of x for which x-2=0.

Domain of f(x) = All real numbers except 2.

Domain of f(x) = (−∞, 2)∪(2, ∞)

Therefore, the correct option is 1.

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation:

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step-by-step explanation: