CHARACTERISTICS OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Review Problems

Playing ideas

Set up 2 dice – one with letters A – E and the other with numbers 1 – 4. You can repeat a letter/number or say that teams lose a turn if they roll something other than A-E, 1-4.

Teams roll 2 dice … click on the square identified by the dice. Squares are hyperlinked to questions.

Put a chart on your board for keeping score. Decide if you want students to earn points for

squares in a row, for covering the board, or ???

1 2 3 4

A A1 A2 A3 A4

B B1 B2 B3 B4

C C1 C2 C3 C4

D D1 D2 D3 D4

E E1 E2 E3 E4

Question A1

Answer A1

Choice D

House grows 1.2% … as a decimal is .012.

Question A2

Answer A2

The domain is all real numbers greater than 9

Question A3

Answer A3

The domain is all real numbers greater than 0.

Question A4

What is the equation for this graph?

Answer A4

y = 2x

Question B1

The graph of lies entirely in what quadrants?

Answer B1

In quadrants I and II.

Question B2

Sketch a graph of

Answer B2

Needs these points:

(0, 4)(1, 5)(2, 7)

Question B3

Given

Describe the transformations for

Answer B3

The graph is translated 3 units to the left.

Question B4

Answer B4

The new equation will be y = 3x-2

Question C1

What is the domain and range of that function?

Answer C1

The DOMAIN is all real numbers.

The RANGE is all real numbers greater than 0.

Question C2

Answer C2

The transformations are: Stretched by a factor of 4 Translated left 1 unit Translated down 1 unit

Question C3

Answer C3

The initial value is 25.2 The growth factor is 1.15 (The percent of growth is 15%)

Question C4

Answer C4

C = 25.2(1.15)9

88.65 computers per 100 people

Question D1

Answer D1

Y = 12.3495(1.1127x)

Question D2

Answer D2

Reasonable domain is between 39 and 98.6 degrees

Reasonable range is between 5 and 100 percent brain activity

Question D3

Answer D3

Y = 2.3692(1.0198^X)

Y = 5.09% brain function at 39 degrees

Question D4

Which statement about the graph of the equation y = ex is NOT true?a) It is asymptotic to the x-axis.b) The domain is the set of all real

numbers.c) It lies in Quadrants I and II.d) It passes through the point (e, 1).

Answer D4

Choice D is not true

Question E1

Answer E1

Choice D

Question E2

As the value of x becomes negative and continues to decrease, what happens to the value of y in the equation y = 2x?a) y becomes negativeb) y gets closer to 1c) y gets closer to 0d) y gets closer to x

Answer E2

Choice C

Question E3

Which function is vertically stretched by a factor of 3 and translated 2 units left from its parent function?

Answer E3

Choice A

Question E4

Which of the following statements is ALWAYS true?a) A vertical translation of changes its

asymptote.b) A vertical translation of changes its

asymptotec) The graph of a transformation of

intersects the graph of

Answer E4

Choice B(Both A and C are sometimes true)