domain and range?
please help me find for the domain and range of the following:
1.) constant
f(x)=a
2.)identity
f(x)=x
3.)quadratic
f(x)=ax^2 + bx + c
4.) Exponential
f(x)=ax
5.) Power
f(x)=x^a
6)Logarithmic
f(x)=log a x
7.) Rational
f(x)= p(x)/q(x) where q(x)is not equal to 0
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Verified answer
note
if f(x) = 3
then x could be any number and y will always be 3
so the domain = all real numbers
the range = a
2.)identity
f(x)=x
again for the same reasons as above
so the domain = all real numbers
the range = x
Domain range
1 All reals {a}
2 All reals All reals
3 All reals All reals not less than - rt(b^2 -4ac)/4a
4 All reals All non-negative reals (assuming a>0)
5 All reals All reals
6 All +ve reals All reals.
For (7), domain is set of all reals where deno is nonzero and range varies from fraction to fraction. There is no rule which determines the range of a rational function. Who asked yu this particular?
i bet you are in Alg 2