Graph Features (intercepts, and extrema)
Describing Graphs (domain, range, intervals of increase,...)
Functions and
Composition
Transformations of Parent Functions
Factoring Quadratic-ish
Inverses
100

The maximum of 

y=-1/2x^2+3.

What is (0,3)?

100

The range of this graph.

What is (-∞,∞)?

100

Given, 

it is g(-2)+f(3).

What is -2?

100

The transformations for the function 

y=2sqrt(x-2)-3.

What are vertical stretch, right 2, and down 3?

100

The factors of 

x^2-5x+6.

What are (x-3)(x-2)?

100

The inverse of 

y= sqrtx+9.

What is 

y=(x-9)^2?

200

The y-intercept for 

x^3+11x^2+35x+32.

What is 32?

200

The range for 

y=-1/2x^2+3.

What is (-∞,3]?

200

Given, 

it is f•g(x).

What is -6x3+14x2+24x-56?

200

The transformations of 

y=2/3(-x)^3+1.

What are a vertical compression, reflection across the y-axis, and up 1?

200

The factors of 

x^2-49.

What are (x+7)(x-7)?

200

The inverse of 

y=(x/2-3)^2.

What is 

y=2sqrt(x)+6?

300

The x-intercept for 

What is -3?

300

The interval of decrease for 

x^3+11x^2+35x+32.

What is (-5,-2.333)?

300


h(2).

What is -1?

300

The transformations for 

y=-root3(1/2x-4)+1.

What are a reflection across the x-axis, horizontal stretch, right 8, and up 1?

300

The factors of 

x^12+2x^6-3.

What are 

(x^6-1)(x^6+3).

300

The inverse of 

y=-root3(2x-3).

What is 

y=((-x)^3-3)/2?

400

The interval of increase for

What is (-4,∞)?

400

The domain.

What is (-4,∞)?

400

Given, 

it is f(g(-2)).

What is 7?

400

An absolute value function that moved right 2, down 3, vertically stretched by a factor of 2, and reflected across the y-axis.

What is 

y=2|-x+2|-3?

400

Surprise!  An odd function is symmetric about this.

What is the origin?

400

Surprise!  An even function is symmetric about this.

What is the x-axis?

500

The zeros for 

What are -8, -3, 2, and 7?

500

The intervals of decrease.

What are (-6.5,-1.5) and (2,5.5)?

500

Given, 

it is g(f(x)).

What is 18x2-84x+90?

500

A cubic function that moved left 4, up 1, compressed horizontally by a factor of 3, and reflected across the x-axis.

What is 

y=-(3x+12)^3+1?

500

The factors of 

6x+sqrt(x)-35.

What are 

(3sqrtx-7)(2sqrtx+5)?

500

The inverse of 

1/(-x-1)+9.

What is 

-1/(x-9)-1?

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