Factorization
Factorize:
6x + 12
6(x+2)
Solve: x2−9=0
x=3 or x=−3
Define a relation in mathematics.
A set of ordered pairs that shows the relationship between elements of two sets.
What is the general form of a quadratic function?
y=ax2+bx+c
Define a composite function.
A function formed by applying one function to the result of another.
Factorize using the distributive law: 8x−16
8(x−2)
Solve: x2+7x+12=0
x=−3 or x=−4
Name the type of relation: Each student has exactly one school ID.
One-to-one relation
What is the shape of a quadratic graph called?
A parabola
Given f(x)=x+1, find f(3).
4
Factorize by grouping: ax+ay+bx+by
(a+b)(x+y)
Solve:
x2−16=0
x=4 or x=−4
State the difference between a relation and a function.
A function is a relation where each input has exactly one output.
Identify the vertex of the function: y=(x−3)2+2
(3,2)
Given f(x)=x+2 and g(x)=3x, Find f(g(2)).
g(2)=6
f(6)=8
Factorize the quadratic expression: x2+7x+10
(x+5)(x+2)
Solve:
2x2−8x=0
x=0 or x=4
Evaluate the function if: f(x)=2x+3 , Find f(4)
11
State the axis of symmetry of the function:
y=(x−4)2+1
x=4
Find the inverse of
f(x)=x+6
f−1(x)= x - 6
Factorize as a perfect square: x2+10x+25
(x+5)2
Solve:
x2−x−12=0
x=4 or x=−3
Evaluate f(x)=x2+1, for when x= 3
10
Find the y-intercept of the function
y=x2+4x+3
(0,3)
Find the inverse of
f(x)=2x
f−1(x)=x/2