Functions
Logarithmic Functions
Quadratic Functions
Exponential Functions
About Mrs. Vavricka
100

Given f(x)=3x2+4x-6, determine f(5)

89

100

Determine the domain and range for the following function: f(x) = log(x-3)+2

domain: x>3

range: All real numbers

100

Factor:  36 - x2

(6 - x)(6 + x)

100

Determine the transformations applied to the following:

f(x)=3(x−1) + 4

The function is shifted 1 unit to the right and 4 units up.

100

How many kids do I have?

2

200

If f(x) = 2x -1  and g(x) = x2

evaluate:  f(g(2))

= 7

200

What is the equation of the inverse:

y = ln(x+1)-3

y = ex+3 - 1

200

Describe the roots for:

f(x)=2x2+4x+5

Imaginary

200

Write 16x-3y-1 with positive exponents only.

16/(x3y1)

200

What is my favorite professional sports team?

NY Islanders

LG!!

300

If f(x) = 2x -1  and g(x) = x2

evaluate:  f(g(x))

= 2x2 -1

300

Evaluate:  log 100,000

5

300

Rewrite the following quadratic in vertex form: f(x)=x- 6x+8

coordinates: y = (x-3)2 - 1

300

What is the equation of the asymptote:  y = 2x-1 - 3

y=-3

300

What is my first name?

Mary

400

Given the function f(x)= 2x+3

state the inverse

f-1(x) = (x-3)/2

400

Condense to a single log:

4 ln x + 3 ln y

ln (x4y3)

400

Determine the vertex of the following quadratic:

f(x)=3x2-12x+13

(2, 1)

400

What is the domain and range for:

y = 3x+2 - 4

domain:  All real numbers

range: y > -4

400

How many years have I been teaching?

22

500

Given the functions f(x)=2x+3 and g(x)=x2−1, find the composite function
(g ∘ f)(x) in simplest form

= 4x2+12x+8



500

Solve for x to the nearest hundredth:

13e3x = 200

= .91

500

Determine the roots of:

f(x)=3x2-16x+21

x = 3, 7/3

500

Find the value x such that the following is true:

5(x+9)=25(2x)

x=3

500

What other class do I teach besides Algebra 2?

Pre-Calc AB