Show:
Exponents
Linear Functions
Quadratic Applications
Function Descriptions (ARoC, Inverses, Evaluating, etc.)
Trig Functions and the Unit Circle
100

(3x4)2

9x8

100

What is the slope of a line between (3, -7) and (-1, 4)?

-11/4

100

The height of an object (in feet) after t seconds is modeled by h(t)=-16t2 + 64t + 58.

What was the initial height of the object?

58 feet

100

f(x) = 3x2 + 5

g(x) = -2|x-7|

Evaluate f(g(5))

53

100

Evaluate sin(7pi/4)

-sqrt(2) / 2

200

125 -2/3

1/25

200

What is the equation of a line parallel to y=-3x+2 that passes through the point (1, -4).

y=-3(x-1)-4

y=-3x -1

200

The height of an object (in feet) after t seconds is modeled by h(t)=-16t2 + 64t + 58.

What was the height of the object after 1 second?

106 ft

200

f(x) = 3x2 + 5

Find the ARoC of f(x) on the interval [-3, 1].

-6

200

Evaluate cos(7pi/6)

-sqrt(3)/2

300

(x4y-3)(x5y2)

x9/y

300

What is the equation of the line that passes through the points (3, -7) and (-1, 4)?

y=-11/4(x-3) -7

y = -11/4(x+1)+4

y = -11/4x +5/4

300

The height of an object (in feet) after t seconds is modeled by h(t)=-16t2 + 64t + 58.

How many seconds until the object reaches its maximum height ?

2 seconds

300

f(x) = 3x3 + 5

Evaluate f(f-1(-104))

-104

300

Evaluate tan(5pi/3)

-sqrt(3)

400

(x4y-3)5(x5y2)-3

x5/y21

400

Write a definition for each word:

- Slope

- Parallel Lines

- Perpendicular Lines

- slope: The steepness of a line that is measured by the change in y divided by the change in x. 

- Parallel Lines: Lines that do not intersect


- Perpendicular Lines: Lines that intersect at a right angle.
400

The height of an object (in feet) after t seconds is modeled by h(t)=-16t2 + 64t + 58.

What was the maximum height of the object? 

122 ft

400

f(x) = 5x3 + 1

What is f-1(136)

3

400

Evaluate sec(pi/2)

Undefined

500

(x4y-3)5 / (x5y2)-3

x35/y9

500

Answer in STANDARD FORM!

What is the equation of a line perpendicular to y=-3x+2 that passes through the point (1, -4).

- x +3y= -13

500

The height of an object (in feet) after t seconds is modeled by h(t)=-16t2 + 64t + 58.

How many seconds does it take for the object to reach the ground?

4.76134 seconds

500
Classify the function as odd, even, or neither. Justify your answer. 

a.) f(x) = 2|x| + 7

b.) g(x) = 4x5+7x - 8x3


a.) Even. It is symmetric across the y-axis. 

b.) Odd. All exponents are odd.

500

Evaluate csc(5pi/4)

-sqrt(2)