Mr. Mendoza
Where was Mr. Mendoza born?
Ecuador
3x+5x−2
8x−2
2x+5=13
x=4
find f(2): f(x)=3x+1
f(2)=3(2)+1
=6+1
f(2)= 7
What is the capital of Ecuador?
Quito
What instrument does Mr. Mendoza play?
Guitar
3(2x−4)
6x−12
3x−7=2x+5
x=12
is this a function?: {(1,2),(2,4),(3,6)}
Look at the x-values: 1, 2, 3
Every input has exactly one output.
Therefore: Yes, it is a function.
Quick rule: One x cannot have two different y's !!
solve: (x5/x2)
x5-2
=x3
Where did Mr. Mendoza go to college?
FSU (go Noles!)
2(x+3)−4x
−2x+6
4(x−2)=2x+8
x=8
is this a function?: {(1,2),(1,5),(2,6)}
Look at the x-values: 1, 1, 2
The input 1 has two outputs: 1→2 and 1→5
Therefore: No, it is not a function!
who won the FIFA World Cup 2026?
Spain!!
What was Mr. Mendoza's major in college?
Biology
3x2+2x−5+x2−7x+1
4x2−5x−4
2(x+3)−4=3x+1
x=1
find f(-4): f(x)=2x+3
f(−4)=2(−4)+3
=−8+3
f(-4)= −5
factor: x2+5x+6
answer: (x+2)(x+3)
We need two numbers that:
Those numbers are 2 and 3.
Check:(x+2)(x+3)=x2+5x+6
Mr. Mendoza wants to become a (...)?
2x2−3x+1 at x=−2
15
(x/3)+4=10
(x/3)+4 =10
(x/3)=6
x=18
find f(3): f(x)=x2−4
f(3)=32−4
=9−4
f(3)= 5
factor: x2−5x+6=0
Factor: (x−2)(x−3)=0
Use the zero-product property:
x−2=0 or x−3=0
Therefore: x=2, 3