PAR 8.3 expo function
Find f(3) for f(x) = 4(2)x
32
What is the domain of g(x) = 4(5)x
all real numbers
Find the x-intercepts of g(x) = 4x2 + 27x + 18
(-6, 0) and (-.75, 0)
(0,0)
Is f(x) = 2x - 10 linear, quadratic, exponential or neither
exponential
Find g(x) = 25 where g(x) = 100(1/2)x
4
What is the y-intercept of 4(5)x
Solve for z. z2 = 9z
z = 0 and z = 9
Find the vertex of x2-20x+81
(10, -19)
Which type of function does the table suggest
x f(x)
1 5
2 7
3 9
A bacteria colony starts with 500 and decreases by half each week. What is the equation?
f(x) = 500(1/2)x
What is the asymptote of g(x) = 5(1/2)x - 10
y = -10
Solve for k. k2 - 121 = 0
k = 11, k = -11
Does this graph have a max or a min? h(x) = -x2 + 6
Max
Which functions output is higher for p(2)?
function 1 p(x) = 5x or function 2 p(x) = 5x2
Function 1
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
What is the range for h(x) = 4(3)x + 2
y > 2
Solve for a. a2 - 3a -28 = 0.
a = -4 and a = 7
What is the axis of symmetry for x2-20x+81?
x = 10
Which function has a higher slope from [0, 2]
Function 1 y = 100x + 2
Function 2 y = 25x + 2
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
What is the rate of change on interval [1, 3] for p(x) = -2(3)x
-24
Find the zeros of x2 - 20x + 81
10 plus or minus sqrt19
or 14.36 and 5.64
Describe the right side of x2-20x+81
As x increase, y goes to infinity.
Which function has an asymptote? Linear, quadratic or exponential?
exponential