Even, Odd or Neither
If a function contains a mix of even and odd exponents, it's _
Neither even or odd
A degree 5 polynomial has at most this many turning points?
4
When a factor cancels, this creates a _
hole
Is this a function?
(1,2),(1,5),(3,4)
NO. x=1 gives two different y-values
How does the function move?
f(x) = |x-2|
Two places to the right
Is the following function even, odd, or neither?
f(x) = x2
Even
True or false: The graph of a polynomial can have holes and breaks
False
A positive function (f(x)) has a _ and a negative one (-f(x)) has
a min, a max
Find the slope using the slope formula (y2-y1)/(x2-x1)
(1,-2)(4,5)
m = 7/3
(4,0)
f(x) = x2 + x
Neither
Solve for x: 4(x-1)+5 = 2x + 3x - 6
x = 7
What's the domain of this function?
f(x) = (x2 + 3x - 10)/(x2 - 5x + 6)
x cannot equal 2 and 3 (pay attention to the denominator only!)
Use PEMDAS to simplify
28/7(2) + 4(4/2) - 13
/ ---> division!
-3
Draw f(x) = sqrt(x-5) + 3
Draw on the board
Is the following function even, odd, or neither?
f(x) = x6 - 4x2 + 5
Even
Evaluate -3(2y - 5) + 4(y - 2)
-2y + 7
If the degree of the top function is greater than the degree of the bottom one, then the horizontal asymptote _
doesn't exist!
Factor the equation: 2x2 + 7x + 3
(2x+1)(x+3)
What's the inverse of f(x) = 4x - 2?
(x+2)/4
This type of symmetry reflects across the y-axis
Even
Write a polynomial with zeros x = 1 and x = -2
(x-1)(x+2)
Find both the x and y intercept(s) for this function:
f(x) = (x2 + 3x - 10)/(x2 - 5x + 6)
X-intercepts: (2,0) and (-5,0) (solve numerator = 0)
Y-intercept(s): (0,-5/3) (plug in 0 for x terms)
Find the equation of a line that passes through the points (3,8) and (2,-6)
y = 14x -34
How would you write x2 moved to the left 3 places, moved down 4 places, and reflected over the x-axis (graph faces away from the x axis)? Graph this as well.