CHAPTER 7 Flashcards
Linear function
f(x) = mx + b
y = mx + b
slope-intercept from
zero
X intercept
how to find x-intercept
-b/m
m>0
increasing
m<0
decreasing
What happens when m = 0
no slope
what happens when b = 0
intersects 0,0
what happens when m and b = 0
x axis
identity function
linear function defined by f(x)=x
identity function denoted by
I
analogous
similar
f*f-1=
I
Constant function
f(x)=b
Directly proportional function
f(x)=kx
constant of proportionality
in directly proportional function, k is nonzero and any real number of
f(x) = kx
in directly proportional function, there is a zero. True of false
true
What is the only zero in a directly proportional function
x=0
average rate of change of f(x) = mx+b is _ over any interval on the x-axis and is the _
constant, slope
difference quotient of linear function
slope
standard form
Ax+By=C
B is nonzero
point-slope form
y-y2=m(x-x2)
m is nonzero
x,y is a point
x2,y2 is another point