Basic
Why are functions important?
it helps create solutions, improve products and services, or make logical choices
What is Equation? Give an Example?
a statement in which two mathematical expressions are equal.
Examples:
2x=59
9x+5=6x+2
Define Composite functions.
A function made of other functions, where the output of one is the input to the other
Define Inverse functions?
An inverse function is a function that undoes the action of the another function.
Do you like this math class? Give proper resoning?
Yes or NO
Domain is X value.
Range is Y value.
Name different ways to find the slope?
Y= Rise/Run
Y=Y2-Y1/X2-X1
What is the order of operations when evaluating composite functions?
We apply the function closest to the input first and continue toward the outermost.
Ex: F(x)=5x, G(x)=5x+19
Find:F(g(x))
First plug in f(x) which is 5x then plug in g(x) into f(x)= 5(5x+19)
What is the notation for inverse function?
(-1) which represent the inverse fo a function.
F(x)= regular
(F^-1)(x)= inverse
Find one implication of math around you surroundings?
Posibble answer:
finding the amount of paint needed to paint a room.
Area of the pool
Name three different time of lines?
Responce may include:
Vertical line, Horizontal line, Parallel line, Skew line, Perpendicular lines and more.
What is the slope Intercept form? Name each letter
y=mx+b
M= slope
B= Y-intercept
Can the order of composition affect the results?
Yes, it can affect the result because generally (f*g)(x) is not equal to (g*f)(x). The output can vary as the order can change.
What is the inverse of this function?
f(x) = 2x + 3
Inverse:
f(x) = 2x+3
F(x)=2y+3
x-3=2y (switch X and Y)
x-3/2=y (Solve for Y)
Who created Argebra?
Discribe the General form of Funtions?
Describe the Horizontal and Verticle Line formula.
Horizontal
- Slope is O
- Y=C
Verticle
-Slope is undefined
-X=C
Find the composite function of the following?
f(x) = 2x, g(x) = x+4, find f(g(x))
F(g(x))= 2x
f(g(x)) = 2(x+4)
f(g(x)) = 2x + 8
How can you determine if two functions are inverse of each other?
if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.
Posible answers:
Meteorologist, Mathematics teacher, Accountant, Research analyst, Computer programmer, Financial analyst, Financial planner, Pharmacist or others.
Name Five different type of graphs?
Responce may include the following:
Bar graph, Pie Graph, Scatter plot, Hitogram, Graph, Box plot, ven diagram etc.
Name two different type of Funtion?
Responce may include:
Composite funciton, Inverse funtion, Quadratic function, Polynomial function and more
How do you express a composite function mathematically?
Mathematically, a composite function is expressed as "(f ∘ g)(x)," where f and g are two functions. This notation represents applying the function g to the input x and then applying the function f to the output of g.
Are all functions guaranteed an inverse?
No, because for a function to have an inverse it must be one-to-one or injective. This means that each input value has its corresponding output value. Functions that don't have this are not inverse.
Who's the most intelligent person in this Class? *not leterrary
Answer: Me
Always belive in your self and work harder to accomplish your goals.