1.graph the functions on the same coordinate plane.
f(x)=x^2-4x+5
g(x)=x+1

what are the solutions to the equation f(x)=g(x) . select each correct answer.

1
2
3
4
5

2. which characteristic is correct for the function f(x)=-2x^2+3x?
even
both even and odd
odd
neither even or odd

3.the function
f(x) is the height of an object x seconds after it is thrown in the air. the object reaches its maximum height in 2 s, and hits the ground at 5 s.
what is the practical domain for the function f(x)?

whole numbers in [0,5]
all real numbers
[0,5)
[0,5]

3.what is (f+g)(x)?
f(x)=x^2-36
g(x)=x^3+2x^2-10

(f+g)(x)=

4. what is (f·g)(x)
f(x)=x^4-9
g(x)=x^3+9

(f·g)(x)=

5. what is (f-g)(x)?

f(x)= 3x^5+6x^2-5
g(x)= 2x^4+7x^2-x+16

(f-g)(x)=

1. solutions are intersection points
they intersect at x=4 and x=1 or the points (4,0) and (1,0)
select 4 and 1

2.
sub -x for x
if you get the same function, it is even
if you get the exact negative of the function, it is odd
if neither, then neither
basically
f(-x)=f(x) is even
f(-x)=-f(x) is odd
and neither is neighter

so
f(-x)=-2(-x)²+3(-x)
f(-x)=-2(x)²-3x
f(-x)=-2x²-3x
that is not the same function nor is it the exact oposite
neither even nor odd

3.
domain is the time you can use
obvioulsy start at time=0
and stop when it hits the ground because it shouldn't go underground
so domain is all real numbers from 0 to 5 including 0 and 5
that is [0,5]

4. (the (f+g)(x) one)
(f+g)(x)=f(x)+g(x)
so that is just
x²-36+x³+2x²-10=
x³+3x²-46

5. just mulitply them
x⁷+9x⁴-9x³-81

6. minus them
(3x⁵+6x²-5)-(2x⁴+7x²-x+16)
3x⁵+6x²-5-2x⁴-7x²+x-16
3x⁵-2x⁴-x²+x-21