Function and Relation/Evaluation and Function

What is a relation?

Which of the following is a relation?

• {1, 2, 3}

• {{1, 2}, {3, 4}}

• {(2, 3), (7, 9)}

• {{-4, 0} ,(7, 8)}

Every function is a relation, but some relations are function.

• True

• False

Which of the following diagram is a function?

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Which of the following statement is true?

• A function is a rule that relates values from a set of values called the domain to a second set of values called the range.

• A function has the elements of the domain can be imagines as input to a machine that applies rule to these inputs to generate one or more outputs. ​

• A function is any set of ordered pairs (x, y).

• A function is a set of ordered pairs (x, y) such that no two ordered pairs have the same y-value but different x-values.​

Which of the following values is a function?

• $a=\left\{\left(-3,0\right),\ \left(7,1\right),\ \left(8,0\right),\ \left(10,3\right)\right\}$

• $b=\left\{\left(m,a\right),\ \left(n,7\right),\ \left(m,5\right),\left(n,6\right)\right\}$

• $c=\left\{\left(1,m\right),\left(2,m\right),\ \left(3,p\right),\left(4,\ p\right)\right\}$

• $d=\left\{\left(-2,\ 0\right),\ \left(-1,\ 1\right),\ \left(0,\ 1\right),\left(-2,2\right)\right\}$

The vertical line test for a function states that if each vertical line intersects a graph in the x-y plane at exactly ___ point, then the graph illustrates a function.

Which of the following graph is a function?

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Which of the following represents function?

• A plant and the amount of sunlight

• A student and his cellular phone

• A writer and his book

• A teacher and her class

Evaluate

 $g\left(x\right)=x^2+2x=1$  if the value of the function  $g\left(1\right)$