Analyzing Graphs
What is the degree of f(x)?
f(x) = 3x^6 + 2x^3 + x - 1
6
How do you find out if a function is even or odd?
Synthetic Division is a shortcut for this
Polynomial Long Division
What is a rational function
A function where there is x in the demonimator
What is the leading coefficient of f(x)?
f(x) = 3x^6 + 2x^3 + x - 1
3
A function is even if...
f(x) = f(-x)
Synthetic Division is set up using what shape
A box
What shape is a rational function?
A hyperbola
What is the parent function of f(x)?
f(x) = |x - 1| - 10
Absolute Value
A function is odd if....
f(-x) = -f(x)
Divide (3x^2 + 2x - 1)/(x + 1)
Determine the shifts in the following rational function:
f(x) = 5/(x-2) + 4
2 right
4 up
What are the transformation on f(x)?
f(x) = |x - 1| - 10
1 right
10 down
Describe how an even function looks
Symmetrical across x - axis
What plugging in that number would evaluate to
What is an asymptote?
A line that the graph approaches but does not touch
What are the domain and range of f(x):
f(x) = x^2
Domain: All real numbers
Range: y >= 0
Is the following even, odd or neither:
f(x) = x^2 + 6
Even
Evaluate f(5) for 2x^3 - x^2 + 7x - 2
258
What are the asymptotes of this graph?
f(x) = 1/(x+3) + 5
y = 5