Vocabulary
The graph of a ______ function is a non-vertical line or part of a line.
Linear
Does this set of ordered pairs represent a linear function? why or why not?
(0,2)(1,4)(3,5)(1,8)
No this is not a function. Y-values increase different amounts.
2.5 more than the quotient of h and 3
y = h/3 + 2.5
What is the range of the function f(x) = 4x - 12, if the domain is {1, 3, 5, 7}
(-8 , 0 , 8 , 16}
Tell whether the sequence is arithmetic and find the common difference
25 , 19 ,13 , 7
common difference is -6
The _____ of a function consists of the set of all output values
Range
What is the function rule?
(0,5)(1,8)(2,11)(3,14)
y = 3x + 5
The length of the rectangle is 5 more than 2 times its width. Write a function rule for the area of the rectangle.
A = 2w2 + 5w
find the range
g(x) = -4x + 1, with domain {-5,-1,0,2,10)
(21, 5, 1, -7, -39}
Write the recursive formula for the sequence
23 , 25 , 47 , 59
What is the 9th term?
A(9) = 119
An ordered list of numbers that often form a pattern.
Sequence
What is the function rule?
(0,43)(1,32)(2,21)(3,10)
y = -11x + 43
y = 30 + .50x
x=100 y=80
Determine if the relation is a function {(a,b) (b,a) (c,c) (e,d) (f,g) (b,h)}
Not a function
An arithmetic sequence is represented by the recursive formula
A(n) = A(n-1) + 15
If the first term is 42, write the explicit formula
Find the 10th term.
A(n) = 42 + (n-1)15
A(10) = 177
Distinct isolated points.
Discrete
What is the function rule?
(0,0)(1,4)(2,16)(3,36)(4,64)
y = 4x2
You buy x pounds of cherries for $2.99/lbs. What is the function rule for the amount of change C you receive from a $50 bill?
C = 50 - 2.99x
if f(x) = 6x - 4 and f(a) = 26 what is the value of a?
Write the recursive formula
A(n) = 76 + (n-1)(10)
Find the first 5 terms.
A(n) = A(n-1) + 10
76 , 86 , 96 , 106 , 116
Another way to decide a relation is a function is to analyze the graph of the relation using the _____________.
Vertical Line Test
What is the function rule?
(1 , 2/3) (2 , 4/9) (3 , 8/27) (4, 16/81)
y = (2/3)x
The recommended dosage D, in milligrams, of a certian medicine depends on a persons body mass m, in kilograms. The function D = 0.1m2 + 5m represents this relationship.
a) What is the recommended dosage for someone whose mass is 60kg?
b) If 1 lbs = 0.45 kg, what is the recommended dosage for someone who weighs 200 lbs?
a) 660 mg
b) 1260 mg
Use the function f(x) = 2x and g(x) = x2 + 1 to solve the following
f(3) + g(4)
23
Find the 2nd, 4th, and 11th term of the sequence
A(n) = 9 + (n-1)(8)
A(2) = 17
A(4) = 33
A(11) = 89