Lines
This incremental change of a line.
What is rise over run
What is delta y over delta x
A set D to a set R is a rule that assigns a unique element in R to each element in D
What is a funciton
The function for exponential growth
What is
y=kcdota^x, k>0 and a>1
A function f(x) is this on a domain D if
f(a)nef(b) when ever...aneb
In simplest form
(x^2)/(3x^2-x)
What is
(x)/(3x-1)
Slope-Intercept Equation
What is
y=mx+b
The inputs of the function make up this. The outputs of the function make up that.
What is domain and range
What is half-life
The base a logarithm function
What is
log_ax
Simplify this expression
(x^2-5)/(x^2+5x-14)-(x+3)/(x+7)
What is
(-x+1)/(x^2+5x-14)
Point-Slope Equation
What is
y-y_1=m(x-x_1)
Take x, the put it through a function, then take that output and put it through another function and use that output.
What is composition, composition of a function, or function composition
Suppose that in any given year, the number of cases of a disease is reduced by 20%. If there are 10,000 cases today how many years will it take to reduce the number of cases to 1000?
What is 10.319 years?
Is this one-to-one?
8x^4+4x-2
What is no
Simplify this expression
9/(x-3)+(2x)/(x+1)
What is
(2x^2+3x+9)/(x^2-2x-3)
The point-slope equation for the line through the point (-4, 0) with slope of -2
What is
y=-2(x+4)
The domain and range of
y=-sqrt(-x)
What is
(-infty,0]; (-infty,0]
Suppose that in any given year, the number of cases of a disease is reduced by 20%. If there are 10,000 cases today how many years will it take to eliminate the disease; that is to reduce the number of cases to less than 1
What is 41.275 years?
Solve for y
lny=2t+4
What is
y=e^(2t+4)
Solve this equation
2/(3x)+1/6=4/(3x)
What is
4
The slope of the line through point (-2,2) and perpendicular to the line
2x+y=4
What is
y=1/2x+3
The graph of this function
f(x)={(1,x<0),(sqrt(x), x>=0):}
What is (the graph of your function)