What operation happens in a linear function?
addition or subtraction
What operation happens in an exponential function?
multiplication or division
What is the shape of a quadratic function? (draw it)
u or n shape
What type of function is this?
a linear function
What is the domain of all 3 types of functions?
(-oo, oo) All Real Numbers
What is the general shape of a linear function? (in words)
A straight line
What is the general shape of an exponential function? (draw it)
What is standard form of a quadratic function equation?
y=ax^2+bx+c
What is the same and what is different about how the graphs look in the 3 types of functions?
Same: Quadratic and exponentials BOTH are semi curved
Different: Linear functions are the only straight line
What does the "n" mean in the compound interest formula?
How many times it is compounded
What is the equation of a linear function?
y=mx+b
What is a special characteristic about an exponential equation?
It has an x in the exponent
Factor
x^2-3x-70
(x+7)(x-10)
Evaluate: f(x)=7x-2 for x=-3
-23
The name that we call the graph of a quadratic function?
a parabola
How do you find the slope of a linear function?
slope formula or rise over run
Is this equation growth or decay?
y--4(3)^x
growth (b =3)
What is the vertex of
x^{2}-2x-24
(1,-25)
Evaluate for x=2
f(x)=1/3(6)^x
12
What are the 3 forms of a quadratic function? (must name all 3)
vertex form, standard form and factored form
What is the slope of (9, 4) and (-5,8)?
-2/7 or 0.29
What is the asymptote of this function?
f(x)=1/4(2)^(x-2)+4
4 (it's the "k" value added or subtracted at the end)
What is the quadratic formula?
x=(-b+-sqrt(b^2-4ac))/(2a)
Evaluate for x= -3
f(x)=3x^2+5x-6
6
In which 2 functions do you have to find Range from bottom to top (lowest to highest)? (must name both)
Exponential Functions and Quadratic Functions