Adv. Functions EXAM Review ...

Transformations of Logs

100

What are the key points to transform a logarithmic equation? 

(0.1, -1)

(1, 0) 

(10, 1) 

200

What is the asymptote of the following equation ... y = 4log(x + 4) - 6 

x ≠ -4

300

Describe the transformations of the following equation ... y = 4log(x+4) - 6

1. Vertical Stretch by a factor of 4

2. Horizontal Translation 4 units left

3. Vertical Translation 6 units down

400

Solve the x-intercept for the following equation ... y = log(x+6) - 3

xi = 994 

500

Find the 3 TRANSFORMED points for the following equation ... y = log(x+6) -3

(-5.9, -4)

(-5, -3)

(4, -2)

AROC (Over an Interval)

100

What does AROC stand for?

Average Rate of Change

200

What type of line connects two points on a graph? (Tangent or Secant)

Secant 

300

For the equation, f(x) = x² + 2x, determine the AROC between 2 < x < 6.

AROC = 10

400

For the equation, f(x) = 9x² + 3, find the general equation for AROC.

AROC = 18x + 9h

500

A baseball is hit and measured by the equation, d(t) = 2.5t² + 15t + 1. The distance is in meters and the time is in seconds. Find the general equation for AROC. 

The general equation is: 5x +2.5h +15.

Limits to Infinity

100

A number divided by infinity is ...

Zero

200

Solve: lim 1/3x

      x -> ∞

0

300

Solve: lim 2^x/5

     x -> ∞

∞

400

Solve: lim 2x + 3 / 5x - 7

      x -> ∞

2 / 5 

500

Solve: lim 3x² - x + 1 / x + 2

       x -> ∞

3 / 0 = undefined 

Change of Base

100

Finish the equation: log_ba = ?

log_ba = loga / logb

200

Solve. log₄7 

log₄7 = 1.4

300

Solve. log(-22)

DNE

400

Solve. log15

log15 = 1.18

500

Solve. log₇3/4

log₇3/4 = -0.15

Solving Linear Equations

100

Solve for x: 2x = 0

x = 0

200

Solve for x: 2x + 4 = 0

x = -2

300

Solve for x: 3x + 5 - 2x = 0

x = -5

400

Solve for x: 4x - 3 = 6x + 2

x = -5/2

500

Find the point of intersection between the line, 6x + 2, and 13x + 4. 

x = -2/7