Define
What is a real zero of a function?
When f(x) = 0
f(x) = 2x2+12x+16 = 0
x = ?
x = -4 or x = -2
A polynomial is factored:
2x2+6x-20 = 2(x2+3x-10) = 2(x+2)(x+5)
Is this correct? Why or why not?
The last step should be:
= 2(x-2)(x+5)
What type of function is (x2+2x+1)/x?
A Rational Function
f(x) = 2x-5, g(x) = x2+x-2
f(g(3)) = ?
f(g(x)) = 32
This is not a function: y2+x2=1
Is this statement correct? Why or why not?
It is correct.
What is the degree of f(x) = x(x-1)2?
3
What is the domain of (x3+2)/(x2-4)?
x = (-inf, -2), (-2, 2), (2, inf)
sin(2x) is a sin curve stretched vertically by a factor of 2.
Is this correct? Why or why not?
It is stretched horizontally.
What is the range of a function?
The y values that have at least one corresponding x value on the function.
cos(a) = 3/5
sin(a) = ?
sin(a) = 4/5
(3+2i)(7-4i) = 21-4i+141-8i2 = 29+10i
Is this incorrect? If so, what is wrong?
It is correct
If a function is 1-1, what does that mean?
Every input results in a unique output.
3|2x+4| - 7 = 1
x = ?
x = -2/3 and x = -10/3
A function is reduced as follows:
(x2+6x-30)/(x2-16) = (x+4)(x+2)/(x+4)(x-4) =
(x+2)/(x-4)
Is there anything wrong with this? If so, what?
The domain (x can not equal -4) needs to be noted.