1.LetA(t)=3−2t2+4t.FindA(2)−A(1).
2.Thefunctionfsatisfiesf(√x+1)=1xforallx≥−1,x≠0.Findf(2).
3.Letf(x)=3x−7x+1.(Find)(the)(domain)(of)(f).(Give)(your)(answer)(as)an(interval).
4.Letf(x)=3x−7x+1.(Find)the(range)of(f).(Give)(your)(answer)(as)(an)interval.
5.Let$f(x)=2−3x5−2x.For)what)value)of)(a)is((f(a)=3?)
6.Letf(x)=3x2−4x.Find(the(constant(k(such(that)f(x)=f(k−x)(for(all(real(numbers(x).
7.Let)(f)be)a)function)such)that)f(x+y)=x+f(y)for)any)two)real)numbers)(x)and)(y).Iff(0)=2,then)what)is)((f(2012)?
8.
Letf(x)=x2+4x−31.For(what(value(of(a(is(there(exactly(one(real(value(of(x)such(thatf(x)=a?
9.Find/all/complex/numbers/z/such/that/z2=2i.Write/your/solutions/in/a+biform,separated/by/commas/.So/,"1+2i,3−i"is/an/acceptable/answer/format/,but/"2i+1;−i+3"/isnot./(Don′t/include/quotes/in/youranswer.)Note:/This/problem/is/not/about/functions.
Hey, CPhill can you go back to the problem about the advertising? I kinda did a mistake in the problem. I put the exponent of 3 instead of 2. Can you give me the right answer? Sorry!
Here's a few :
1.
A(2) - A(1) =
[ 3 - 2(2)^2 + 4^2 ] - [ 3 - 2(1)^2 + 4^1]
[ 3 - 8 + 16] - [ 3 - 2 + 4]
[ 11 ] - [ 5]
6
3. [ 3x - 7] / [ x + 1]
We can put any x into the function except x = -1
So....the domain is (-infinity , -1) U (-1, infinity )
4. [ 3x - 7 ] / [ x + 1 ]
Since we have a same power polynomial/ same power polynomial we will have a horizontal asymptote at [ 3x ] / x = 3
So....the range is (-infinity , 3) U (3 , infinity )
5.
3 = [ 2 - 3a ] / [ 5 - 2a ] multiply both sides by 5 - 2x
3 [ 5 - 2a] = 2 - 3a
15 - 6a = 2 - 3a add 6a to both sides, subtract 2 from each side
13 = 3a divide both sides by
13/3 = a
1.The/function/f/satisfies/f(√x+1)=1x/for/all/x≥−1,x≠0.Findf(2).
2.Let/f(x)=3x2−4x.Find/the/constant/k/such/that/f(x)=f(k−x)for/all/real/numbers/x.
3.Find/all/complex/numbers/z/such/that/z2=2i.Write/your/solutions/in/a+bi/form/,separated/by/commas./So,/"1+2i,3−i"/is/an/acceptable/answer/format,/but/"2i+1;−i+3"/is/not./(Don′t/include/quotes/in/your/answer.)/Note:/This/problem/is/not/about/functions.
4.Let/f/be/a/function/such/that/f(x+y)=x+f(y)/for/any/two/real/numbers/x/and/y/.Iff(0)=2,then/what/is/f(2012)?