Attributes of graphs
What is a local minimum
Lower valleys on the graph, but not the lowest
n2 -9
(n+3) (n-3)
Find x intercepts
f(x)= x2-8x+12
(6,0) (2,0)
Write in radical form.
X4/7
7√x4
Simplify
3y10 / -3(w)5
- Y10 / w5
What is a global minimum
The lowest point on a graph (pointing down)
12x2 - 6x
6x (2x-1)
Find y intercepts
x2 -8x+12
(0,12)
Simplify
√24
2√6
Simplify
-3(u-4)2 / 6a-9
-a9/ 2u8
What is a local max
High peaks on the graph, but not the highest
x2 + 3x - 10
(x-2) (x+5)
Simplify
(x2 -6x-9) + (5x2 +9x+2)
4x2 +3x-7
Simplify
3√28
6√7
15u10 q-6 / (-3u4 q3)3
-5 / 9u2 q15
What is a global maximum
The highest peak on a graph
16x3y2 - 3y
y(16x3 y - 3)
Find x intercepts
4x2 + 3x-7
(1,0) (-7/4,0)
Solve for x
x+3 √x = 28
X=16
3c5 t-5 / (-4t5)4
3c5 / 256t25
If a boy was to throw a ball across a room is the direction going to be positive or negative
Negative
24x y3z2+8x2 z3
8x z2 (3y3 + xz)
Find y intercepts
4x2+3x-7
(0,-7)
Solve for x
√x-6 =2
x=10
2(p-3 b5)-2 / 3b-2
2p6 / 3b8