3.5 graphing functions - hartland middle school at ore...
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Notes 3.5.notebook
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October 31, 2017
Warm-upWhat is wrong with the domain and range.
Domain: 4, 3, 2, 0, 1, 2Range: 0, 1, 2, 3, 4
h(x) = 2 – |x + 2|, find h(x) when x = –4
Evaluate each function for the given input values.
3.5 Graphing Functions
I CAN...1.) graph functions given a limited domain.
2.) graph functions given a domain of all real numbers.
3.) find values of functions with/without using a graph
Notes 3.5.notebook
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October 31, 2017
Graphing Functions
Limited DomainGiven the number is domain
Plot only ordered pairs of the function
Do NOT connect ordered pairs
D: -3, 0, 3, 6
Graphing Functions
All Real Numbers DomainAny number can be used for the domain
Infinite number of ordered pairs of the function
Connect the ordered pairs with a line
Arrowheads need to be drawn
**If no domain is given, assume it is all real numbers**
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October 31, 2017
Graphing Functions♦ I can graph functions given a limited domain ♦
Example 1: Graph each function for the given domain. a. –x + 2y = 6; D: –4, –2, 0, 2
x y (x, y)
Graphing Functions♦ I can graph functions given a domain of all real numbers ♦
Example 2: Graph the function. a. f(x) = |x + 1|
x y (x, y)
Notes 3.5.notebook
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October 31, 2017
Graphing Functions♦ I can graph functions given a domain of all real numbers ♦
Example 2: Graph the function. b. 2x + y = 3 P
ull
Pull
Graphing Functions
Example 3: Use a graph of the function f(x) = ⅓x + 2 to find the value of f(x) when x = –3 . Check your answer.
♦ I can find values of functions with/without using a graph ♦
Notes 3.5.notebook
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October 31, 2017
Graphing Functions♦ I can find values of functions with/without using a graph ♦
Partner Check 1. Use a graph of the function 2. Use a graph of the function f(x) = ½x + 1 to find the value of f(x) = 3x – 6 to find the value of f(x) when x = 2. Check your answer. f(x) when x = 2. Check your answer.
Graphing Functions
Example 4: Without graphing, determine whether the given points are on the graph.
y = 7x – 2; (1, 5) and (2, 10)
♦ I can find values of functions with/without using a graph ♦
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October 31, 2017
Graphing Functions
Checkpoint: Without graphing, determine whether the given points are on the graph.1. y = x2; (1, 1) and (–3, –9)
♦ I can find values of functions with/without using a graph ♦
Graphing Functions
Example 5: The function y = 2.5x describes how many millimeters sea level y rises in x years. Graph the function. Use the graph to estimate how many millimeters sea level will rise in 3.5 years.
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October 31, 2017
Graphing Functions
Example 6:The function represents the boiling point of water B (in degrees Fahrenheit) at an altitude of x feet. Graph the function using a domain of 0, 10,000, 20,000, and 30,000. Is the domain discrete or continuous?
8. The circumference C of a circle is a
function of its radius r.
a. Write the equation in function
form.
b. Graph the function.
c. Is the domain discrete or
continuous?
d. Is in the domain? Explain.
e. Is 6 in the range? Explain.
8. You spent $24 on surfboard wax and sunscreen.
The function
relates x, the number of containers of surfboard wax you
purchased, to y, the
number of tubes of sunscreen you purchased.
a. Is 2 in the range? Explain.
b. Is 2 in the domain? Explain.
The function represents the balance b (in dollars) on
a prepaid phone card after making n phone calls. Graph the function
using a domain of Is the domain discrete or continuous?