INFORMATION OF THE GRAPH:

Domain: IR

Range: y ≤  2     <- is the range the y from your vertex?  how would you know what sign to put (greater than or equal to/ less than or equal to)

Vertex: (-3 , 2)

Zeros: x = -1 , -5

Interval of increase: x ≤ -3        <-  how do you knonw what sign it is (greater than or equal to/ less than or equal to) and is it always going to be x greater/less than or equal to? or will it sometimes be y greater/less than or equal to?

Interval of decrease: x  ≥ -3       <- how do you know what sign to put for this one as well?

Thanks!

Solve for X by Graphing | TI-83 Plu...
Solve for X by Graphing | TI-83 Plus and TI-84 Plus graphing calculators
~~INFORMATION OF THE GRAPH:

Domain: IR

Range: y ≤  2     <- is the range the y from your vertex?  how would you know what sign to put (greater than or equal to/ less than or equal to)

Vertex: (-3 , 2)

Zeros: x = -1 , -5

Interval of increase: x ≤ -3        <-  how do you knonw what sign it is (greater than or equal to/ less than or equal to) and is it always going to be x greater/less than or equal to? or will it sometimes be y greater/less than or equal to?

Interval of decrease: x  ≥ -3       <- how do you know what sign to put for this one as well?

Okay think about the function.  The vertex is (-3,2), and the x values are -1 -5.  since there are two x-values that means the function is in the format of x^2.  it tells me that it is a parabola.  it faces down because the vertex is the highest point.

the range ("Y" values) are less than equal too.

the domain ("X" values) is infinity all "X"values.

to find the increase or decrease you take the derivitive and the slope at that point is the increase or decrease.
by Level 10 User (55.7k points)