Alg 2	Name: ____________________________

Nigh School

___________ _________________

Worksheet	Assessment

Target 12:

Intro to function

I can … :

Evaluate a function

Understand the basic properties function: Domain and Range

Standards A9. Functions
● A9a. I can use function notation to evaluate and interpret functions.
● A9b. I can determine if a representation is a function and state its domain and range.

What is function ?

Definition: A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.

Notation:	y or f(x)	We also use g(x), k(x) etc.

It can be expressed as

Equation	Table	Graph	or Arrow map

Vertical line test: A test use to determine if a relation is a function (only ONE crossing)

A relation is a function if there are no vertical lines that intersect the graph at more than one point.

Evaluate function: Find the value of f(x) (sometimes just called it y) with a given value of x

Determine if a relation is a function (graphically)

1. Does each graph represent a function? Write yes or no. Hint: Use vertical line test
Determine if a relation is a function (table and arrow map)	2. Is each relation a function? Write yes or no. Hint: Use definition
Evaluate function (algebraically)	3. Given that f(x) = 2x2 + 5x – 4. Find f(3) in four different ways Given g(x) = 3x2 – 5x + 6. Find g(2) in four different ways. Show me for stamp
Evaluate function (graphically)	4. Use graph of f(x) to evaluate each a. f(-4) = b. f(4) = c. f(-51) = d. f(0) = e. f(3) =
Evaluate function (table)	5. Given f(x) x 5 -5 3 8 0 1 9 y 12 10 -1 3 -5 0 7 g(x) x -3 2 8 1 -4 7 6 y 0 -5 -5 8 1 3 5 a. f(0) = b. g(1) = c. f(5) + f(3) = d. g(2) + g(8) = e. f(9) + g(8) =
Perform arithmetic operation on function (equation and table)	6. Given f(x) x 5 -5 3 8 0 1 9 y 12 10 -1 3 -5 0 7 and g(x) = 2x2 + 5x – 4 a. f(1) + g(1) = b. g(f(1)) = c. g(f(3)) = d. f(9) + g(8) =
Perform arithmetic operation on function (graphically and table)	7. Given f(x) x 5 -5 3 8 0 1 9 y 12 10 -1 3 -5 0 7 g(x) x -3 2 8 1 -4 7 6 y 0 -5 -5 8 1 3 5 and h(x) Find a. g(-3) + f(3) = b. h (-3) + g(1) = c. h(g(f(9))) = d. f(g(h(4))) = You write in a number and find answer e. f(___) + g(____) + h(______) =
Find the corresponding value(s) of x given the value(s) of function	8. Given h(x) = 7x + 1 a. Find the value of x if h(x) = 20 b. Find the value of x if h(x) = 48 Given k(x) = x2 – 5 a. Find the value of x if k(x) = 20 b. Find the value of x if k(x) = 164 Given y(x) = 3x + 4 a. Find the value of x if y(x) = 19 b. Find the value of x if y(x) = 0

Domain and Range	Name: ____________

Definition: Domain – is all possible value of the graph on x-axis, and Range – is all possible value of the graph on y-axis. We use set notation or inequality symbol to define Domain and Range

For example

The x-value of the graph is from 1 to 5 (not including 5) We say the domain is inequality symbol or D: x = [1, 5) set notation The y-value of the graph is from 2 to 4 (not including 4) We say the range is inequality symbol or R: y = [2, 4) set notation

For the following, decide if the graph is function or not, then find its domain and range using inequality and set notation

Target 12

I can… evaluate function

1. Given that g(x) = 5x + 12, find g(-4) in four ways. Need stamp

2. Given that f(x) = 4x2 + 3x – 5, find f(-3) in four ways. Need stamp

3.

x	-12	-7	0	5	8
f(x)	8	9	12	2	-7

x	-57	-9	2	3	15
k(x)	9	2	15	-57	5

Find f(-7) = k(k(3)) = f(f(-12)) = f(k(15)) =

4. g(-3) = g(4) =

g(-6) = g(-12) =

g( ______) = -2 g( ____) = 5

5, Find the domain and range of the function g(x) without the arrow to left part.