For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i
dentify the rule that assigns exactly one output to the very input, and d) evaluate the function for the given input value.
1 answer:
<h2>Hello</h2>
The answers are:
a) The name of the function is g, and it's an Exponential Function.
b) Independent variable : x , dependent variable : g(x)/y
c) The rule that assigns exactly one output to the very input is called "function".
d)
Usually, the name of a function (g(x)) is given by letter that is out of the parentheses. For this exercise, the name of the function is "g", and it's an Exponential Function.
The independent variable of a function is the variable we assign the different values. For this exercise, the independent variable is designated with the letter "x".
The dependent variable is the function itself (g(x)), it's also called "y", and it's called "dependent" variable because its values will always depend on the "independent variable".
A function is the rule that states that there is exactly one output (range value) to the each input (domain value). A function only exists when there is exactly one output value (range) for each input (domain), if there is more than one output for each input, the function does not exist.
To evaluate a function we need to assign values to the independent variable(x), therefore:
Have a nice day!
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Answer: (b) exactly one plane contains a given line and a point not on the line.
Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-
(i) The intersection of two lines determines a point,
(ii) Two parallel lines give result to a plane,
(iii) A line and a point not on the line determines a plane, etc...
Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.
Hence, the correct option is (b).
