Algebra 1 Review 2

PAR 8.3 expo function

100

Find f(3) for f(x) = 4(2)^x

32

200

Find g(x) = 25   where g(x) = 100(1/2)^x

4

300

A bacteria colony starts with 500 and decreases by half each week. What is the equation?

f(x) = 500(1/2)^x

400

Consider the function for cell reproduction g(x) = 75(2)^x  What do the values 75 and 2 represent in the duplication of cell process. 

75 is the start of the cell and then 2 represents doubling each week

500

Candance has her money in a savings account. The total amount of money, in dollars, in the account in relation to the time, in years since she made her first deposit can be represented as A = 3000(1 + .04)^{t .} Find initial deposit, growth factor, time, interest rate .

initial deposit is 3000

growth factor is (1 + .04) 

time  is t 

interest rate is .04

FGR 9.2 graphs of expo

100

What is the domain of g(x) = 4(5)^x

all real numbers

200

What is the y-intercept of 4(5)^x

(0, 4) 

300

What is the asymptote of  g(x) = 5(1/2)^x - 10 

y = -10

400

What is the range for  h(x) = 4(3)^x + 2

y > 2 

500

What is the rate of change on interval [1, 3]  for p(x) = -2(3)^x

-24

PAR 6.3 create&solve quad

100

Find the x-intercepts of g(x) = 4x² + 27x + 18

(-6, 0) and (-.75, 0) 

200

Solve for z. z² = 9z

z = 0 and z = 9 

300

Solve for k. k² - 121 = 0 

k = 11, k = -11

400

Solve for a.  a² - 3a -28 = 0.

a = -4 and a = 7 

500

Find the zeros of x² - 20x + 81

10 plus or minus sqrt19

or 14.36 and 5.64

FGR 7.3 Graph of quadratic

100

Find the y intercept of y = 6x²+ 3

(0,0) 

200

Find the vertex of x²-20x+81

(10, -19) 

300

Does this graph have a max or a min?  h(x) = -x² + 6 

Max 

400

What is the axis of symmetry for x²-20x+81?

x = 10 

500

Describe the right side of x²-20x+81

As x increase, y goes to infinity. 

FGR 7.9 Compare functions

100

Is f(x) = 2^x - 10  linear, quadratic, exponential or neither

exponential

200

Which type of function does the table suggest

x      f(x)

1       5

2       7

3       9

linear 

300

Which functions output is higher for p(2)?

function 1  p(x) = 5^x or function 2 p(x) = 5x²

Function 1 

400

Which function has a higher slope from [0, 2]

Function 1  y = 100x + 2 

Function 2  y = 25^x + 2 

Function 2 

500

Which function has an asymptote? Linear, quadratic or exponential?

exponential