Vocabulary
What makes a function?
When the x value cannot repeat.
What is a domain?
All possible x values.
Solve this equation:
(3x2+2x+1)+(x2−4x+5)
4x2−2x+6
What translation is made in this:
y=x2-2
Shift down 2 times
What makes a parent function?
A basic graph with no transformations.
What is a range?
All possible y values.
Solve the equation:
(5x3+3x2−x)−(2x3−x2+4)
3x3+4x2−x−4
What translation is made in this:
y=x2+7
Shift up 7 times
What is a interval notation?
A way to write sets of real numbers using a pair of numbers as endpoints.
Solve the equation:
(x+2)(x−3)
x2−x−6
What translation is made in this:
y=(x+5)2
Shift left 5 times
What is a relative extrema?
The local maximum/minimum (turning point).
Name all possible range factors: (1, -2), (4,-5), (2, 6).
(-2, -5, 6).
Solve the equation:
2x(3x2−x+4)
6x3−2x2+8x
What translation is made in this:
y=(x-9)2
Shift right 9 timess
What is considered a zero on a graph?
Roots, Solutions, Zeros, and X intercepts.
Name what factors are domain and range: (-6,3), (4,1), (-7, 4).
Domain: (-6, 4, -7).
Range: (3, 1, 4).
Solve the equation:
6x3+3x2 / 3x2
2x+1
What reflection is made in this:
y=-x2
Flip over the x-axis