Exponential Equations

Transformations

100

Describe the Transformations of the Exponential Equation: 3(2)^x 

NO TRANSFORMATIONS

200

Describe the Transformations of the Exponential Equation: 4(1/2)^x+1

Shift left 1 unit

300

Describe the Transformations of the Exponential Equation: 2(2)^x+2 -1

Left 2 and Down 1

400

Describe the Transformations of the Exponential Equation: 4096(.002)^x-6-6

Right 6 and up 6

500

Describe the Transformations of the Exponential Equation and find the horizontal asymptote (MUST BE IN CORRECT FORMAT): 4(1/4)^x+9 -2

Left 9 and down 2, asymptote at y= -2

Growth or Decay?

100

How can you tell WITHOUT LOOKING AT THE GRAPH whether a function is growth or decay?

If the B VALUE is greater than one (growth) and if it's less than one but bigger than 0 (decay)

200

Is this function representing growth or decay? 15(.90)^x

Decay

300

Is this function representing growth or decay? 6 * 1.1^x

Growth

400

Is this function representing growth or decay? 45,619(.999999999999999999)^x

Decay

500

Is this function representing growth or decay? 1.0001^x

Growth

Coordinates

100

Find 2 points for the equation (use 0 and 1 to find them): 2^x

(0,1) and (1,2)

200

Find 2 points for the equation (use 0 and 1 to find them): 3(2)^x

(0,3) and (1,6)

300

Find 2 points for the equation (use 0 and 1 to find them): 4(3)^x-1

(1,4) and (2,12)

400

Find 2 points for the equation (use 0 and 1 to find them): 2(4)^x+2

(0,4) and (1,10)

500

Find 2 points for the equation (use 0 and 1 to find them): 3(3)^x-2-3

(2,0) and (3,6)

Kinda review for the final

100

Find f(g(x)) 

f(x)= 2x+1

g(x)= x+1

2x+3

200

What is the LEADING COEFFICIENT AND DEGREE of the equation? 2x⁴+3x²+5

Degree of 4, leading coefficient of 2

300

List the x intercepts of the equation : (x+2)(x+1)(x-3)

x= -2, -1, 3

400

Find f(g(2))

f(x) = 2x+4

g(x) = 3x+1

18

500

Find the discriminant (the number after you do the math) of the equation: x²+7x+10 

HINT: the formula is b² - (4*a*c)

9

Miscellaneous

100

2+2

4

200

What number am I thinking of? (1-10)

7

300

What was the name of the secretary with the smoker's voice in Monsters Inc.?

Roz

400

Name a park that has a skatepark in it in CT

Rockwell (Bristol), Linden Park (Naugatuck), Stanley Quarter (New Britain), Edgewood (New Haven)......

500

Name all 7 continents

Europe, Asia, Africa, North America, South America, Antarctica, Australia