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How to do it: First determine if the function wants f(x) or if f(x)=2. if the question asks f(x), then plug in the x that is given to you, and solve for the answer. If the question is asking f(x)=2, then use the equation given, equal to the number that they give you.
Video: https://www.youtube.com/watch?v=Kj3Aqov52TY
Example:
h(t)=2t-5
will be h(-4) = -13
or h(t)=23, t=14

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When to use Brackets, Parenthesis, and  Squiggly brackets

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When to use Brackets, Parenthesis, and  Squiggly brackets

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Definition: [    ]   Brackets are used in domain and range to tell from one point to another
Parenthesis: (      )used in domain and range when the points are a white circle in the middle.
Squiggly brackets:  {     }     used in domain and range when a graph or equation gives you points instead of a line.
How to do it: To determine wither to use brackets, parenthesis, or squiggly brackets. First look at the equation or graph. If the graph is two full circles and a line plotted on a graph, then use brackets. If the graph is one or two white circles, then use parenthesis. If the graph is piloted with dots, then use squiggly brackets
Video: https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/v/introduction-to-interval-notation
Example:
Use parenthesis for this one
the answer for domain is (-3, 3)

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Definition:
Function- a graph or points that passes the vertical line test.
How to do it: The easiest way to do determine if it is function is to look if there are any points that repeat on the y axis.
Video: https://www.youtube.com/watch?v=96VqHrvZdXw
Example:
is not a function because it did not pass the vertical line test. The -3 have two values

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Definition:
Domain: The set of possible values of the independent variable(x axis) or variables of a function.

Range: The set of values that a given function can take as its y axis.
Intervals of Increasing/decreasing: The domain of a function where its value is getting larger or smaller, respectively.
Maximum/Minimum: The largest or smallest point on the graph (look at the y values)
How to do it: First put these into three sections. The first section would be Domain and range. For domain look at the x axis that the line goes through, and range look at the y axis. The section would be intervals of increasing and decreasing. Increasing would be where on the graph does the numbers increase and decrease is where does the numbers decrease. The third section is maximum and minimum. The maximum is the highest point on the graph and the minimum is the lowest point on the graph.
Video:

https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/v/introduction-to-interval-notation

Example: