2026 U12 Functions

Polynomial Functions

100

This straight function has the standard form of y=mx+b

What is a Linear Function

200

This curvy function has a general form of y=a(x-p)²+q

What is a Quadratic Function (Parabola)

300

Which quadrant on the coordinate plane has both negative y and a negative x

What is quadrant 3?

400

This method of finding a remainder when dividing polynomials by each other

What is Polynomial Division

500

If you would like to find a root of a Polynomial function what method would you use to find factors?

What is synthetic division  

Advanced Polynomial and Rational

100

These symbols are usually used to show inequalities and they have variations of themselves  

(Hint ><><)

What is inequality signs

200

If a polynomial inequality is showing f(x)<0, what side of the x-axis is it looking for?

Where the function is below the x-axis

300

If a question asks you to solve for a inequality and it shows as 2x-4>0, what is the first thing you do?

What is move the four onto the other side of the inequality.

400

What are the x-int of f(x)=x(x+5)(x-10)²

The x-int's are x=0,x=-5,x=10

500

What is the formula that has the form of 

      -b ± √(b² - 4ac)

x = ------------------

             2a

What is the quadratic formula

Exponential and Logarithmic Functions

100

What rule says that (a/b)^x = a^x/b^x

What is the power of a Fraction Rule

200

What is the Logarithmic Function for a^x=y

What is log_a(y)=x

300

This Formula goes as such: log_b(a) = log_x(a)/log_x(b)

What is the Change of Base Formula

400

This rule states that x⁰=1

What is the "Zero Exponent" rule

500

This letter corresponds to a Horizontal Translation, from the form of y =alog[k(x-d)]+c

What is "d"

Trigonometric Functions

100

If 180^o is in degrees, what is it in radians

What is π (pie)

200

Which angle corresponds to root 3 on the special triangles? 

What is π/3 or 60^o

300

Which term corresponds to the height above the midline a sinusoidal function goes

What is Amp or Amplitude 

400

This is the common length of period for a Sinusoidal Function

What is 2π 

500

This letter corresponds to the amplitude when referencing a cosine function (f(x)=acos(k(x-d))+c) 

What is the letter a

Characteristics of Functions

100

This formula is used to find the average rate of change.

What is (y₂-y₁)/(x₂-x₁)

200

If  is asking for the insatnous rate of change at 5, what two numbers would you use for the formula (y₂-y₁)/(x₂-x₁)

What is 4.9 and 5.1

300

This acronym is used to describe the Average Rate of Change.

What is AROC

400

Is (f*g)(x) =(g*f)

What is No

500

What would be the expanded solution for (f*g)(3)

What is f(g(3))