Chapter 1
The direction of a line, rise/run, calculated by
m = (y2-y1)/(x2-x1)
Slope
Where the graph crosses the x-axis, also known as zeros
X-intercepts
A function where the input, x, is in the exponent
Exponential function
A circle centered at (0, 0) with a radius of 1
Unit circle
The lowest point of a function
Minimum
The graph of a quadratic function, a U-shape that opens up or down
Parabola
The inverse function of an exponential function, written as "log" for short
Logarithm function
sin =
y or opposite/hypotenuse
The highest point of a function
Maximum
A function with a degree of 2 (highest exponent = 2)
Quadratic function
The natural number, approximately 2.71, commonly used in exponential and logarithm functions
e
cos =
x or adjacent/hypotenuse
Where the function starts and ends on the x-axis; the collection of all x-values of a function
Domain
An invisible line that a function approaches but never crosses
Asymptote
A logarithm function with the natural number as the base, written as ln for short
Natural logarithm function
tan =
y/x or opposite/adjacent
Where the function starts and ends on the y-axis; the collection of all y-values of a function
Range
Functions written as a fraction
Rational function
What is one real-world example of exponential functions that we have covered in class?
Stock market, investments, growth over time, etc.
cot =
x/y or adjacent/opposite