Precalc Semester 1
the domain of a function g is -6<x<12. If function h is 3g(x/2), what is the domain of h?
-12<x<24
L(x)-E(x) minimum value
0.540
Drop of water radius
1250pit+625pi COMPOSE R(T) IN AREA OF CIRCLE
a balanced coin is flipped 6 times. how many ways are there to get exactly 2 heads and 4 tails?
15 USE PASCALS TRIANGLE
A new special attraction opened at a museum. Management tracked the number of people who visited per day and created function model. R for the rate of change in people per day (d) after the attraction opened. R(d) = 1/200 (-d^4+35d^3-411d^2......... find point of inflection
3.894, 8.627, and 13.728 USE CALCULATOR
f(x)=x+2. If f^-1(n)=4, what is the value of n?
6 f(4)=n plug in 4
semi log plot problem for g(2)
631
A certain hobby shop wants to attract customers on slow sales days by offering a new discount. The shop offers a 1.5% discount on Wednesdays with a bonus for repeat customers. For customers who make purchases on successive Wednesdays, their discount is doubled from the previous Wednesday. Based on this pattern, what is the first successive week that a customer's discount would exceed the purchase price of an item?
8. equation an=0.015(2)^(n-1)>1
The number of bacteria in a dish is 1150 at time=0 hours. The number of bacteria in the dish doubles every three hours. If the function B gives the number of bacteria in the dish a time t hours for t >0 what is B(t)?
B(t)= 1150x2^t/3
the graph of rational function r is shown with a hole at the point (1,1/2). which is true?
Both are defined, and these limit values are both equal to lim r(x), which is equal to 1/2.
A linear function P is used to model the price, in dollars, of used cars as a function of their age, t, in years. It is known that P(4) = 7300 and P(7) = 5500. Which of the following is true?
For each year that a car ages, its price decreases by approximately $600. USE RATE OF CHANGE (P(7)-P(4))/7-4
P(x)=(x-3)(x-2)(x-1), and the domain of P is -5<x<5. (greater than or equal)
The graph of p intersects at three points, two local extreme that are not also global, and two global extrema.
The figure shows a base-10 logarithmic scale with point A located at the geometric midpoint of the segment between the tick mark labeled 100 and the tick mark labeled 1000. Which of the following statements is true about the value at the location of point A?
The log base 10 of the value is 2.5
The table gives five ordered pairs (x,y). Which of the following is true about the nature of the data?
a common ratio of the y-values can be found as 1.25 after subtracting 7 from each y value
GEOMETRIC SEQUENCE FORMULA
an=a1(r)^n-1
Which of the following conditions ensures that f is a logarithmic function?
b=a^2, c=a^3, d=a^4
function f is given by f(x) = x^3 + x. Which of the following is true and supports that f is an odd function?
f(-3)=-f(3) PLUG IN
the graphs of the functions f and g are given. Which of the following defines g in terms of f?
g(x)=3f(2x)-1
h(x)=axb^-x a<0 b>1
h is increasing and graph is concave down
logarithmic growth
input values change multiplicatively, output values change additively
HORIZONTAL ASYMPTOTE
n/m 1. if n<m, asymp is y=0 2. if n=m, asymp is y=a/b 3. if n>m, there is no horiz. asymp
cooling object
use law given and PLUG IN 30-24/180-24 =35.253
r is given by r(x) = x-3/x-5. what are all solutions to r(x)>0?
x<-5 and x>3
the table gives coordinates of five points (x,y). based on these values, which of the following gives x as a function of y?
x=-1/2+ln(square root of (y-4)) reverse operations: y-4= e^(2x+1) ln(y-4)=2x+1
