SECTION 8.2 INTRODUCTION TOFUNCTION NOTATIONS
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I) WHAT IS A FUNCTION NOTATION?
is a symbol for writing functions
The symbol replaces the ‘y-variable in an equation
You can use other letters to represent a function g, h, t,
f’ is a function of ‘x’
Rule: Whatever ‘x’ becomes in the brackets (left), youreplace that with the same value for ‘x’ on the rightside of the equation
Ex: Given the equation for the function, evaluate thefollowing:
PRACTICE: GIVEN THE FUNCTION, EVALUATEEACH OF THE FOLLOWING:
EX: EVALUATE EACH OF THE FOLLOWING:
II) HOW TO READ FUNCTION NOTATIONS
The value inside the brackets for ‘x’, is the inputnumber (x-coordinate) and
The value of the function is the Output number(y-coordinate)
The function h(x) will have a point at (4,22)
EX: GIVEN THAT THE FOLLOWING GRAPH IS THEFUNCTION F(X), INDICATE WHICH STATEMENT ISCORRECT:
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The input number is “5”
According to the graph F(x), when the x-coordinate is ‘5’,the y-coordinate is ‘4’
The correct statement is
EX: USE THE GRAPH TO FIND THE VALUEOF EACH EXPRESSION:
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0
PRACTICE: USE THE GRAPH TO FIND THEVALUE OF EACH EXPRESSION:
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Hollow Dot
No value
Solid Dot; Value at this point
Hollow Dot
No value
Solid Dot; Value at this point
CHALLENGE: GIVEN THAT H(X) IS A LINEARFUNCTION, FIND THE SLOPE AND Y-INTERCEPTWITH THE GIVEN INFORMATION
h(x) is a linear function, so it is the form of
Find the equation with the coordinates of points given:
III) INPUT AS A FUNCTION
When the input value is a function, replace every “x” inthe equation with the same function
Supposefind
PRACTICE: GIVEN EACH FUNCTION EVALUATE THE FOLLOWING
EX: GIVEN THE GRAPH OF F(X), EVALUATE THE FOLLOWING
