Function Family
Vocabulary
Domain & Range
Transformations
Function Properties
100
Name the function family.
f(x)=\sqrt { x+3 } -7
Square Root Function
100
Input, x-value, independent variable are all synonymous with...
Domain
100
Describe the domain of the function
{(-2, 4), (3, 2), (2, 10)}
{-2, 3, 2}
100
True or False:
Vertical transformations appear on the outside of the equation.
TRUE
100
Is this a function: {(1, 2), (2, 3), (2, 4)}
NO (repeating inputs need the same output)
200
Name the function family.
f(x)=\frac { 1 }{ 2 } x+7
Linear Function
200
A polynomial that has three terms
Trinomial
200
Describe the Range of the Function
{-6, -5, -2, 3, 5}
200
Which variable determines stretch/shrink factor?
a
200
What visual test can be used to determine if a graph is a function?
Vertical Line Test
300
Name the function family.
f(x)=root(3)[ 3 -x] -4
Cube Root Function
300
The product of a number and a variable - for example the expression 3x
A Term
300
Describe the Range of the Function
j(x)=|x|
j(x)>=0
300
Describe the translation.
f(x)=|x-1/2|+0.75
Shift Right 1/2 and Up 0.75
300
Is it a function?
NO
Fails the vertical line test (x=8 outputs 3 AND -3)
400
Name the function family.
Rational Function
400
The value(s) of a variable that make an equation or inequality true
Solutions
400
Describe the Domain of the Function
x>0 , x<0
400
Which variable determines reflection? (flipping the function)
a (negative values)
400
Evaluate the function
f(-3) if f(x) = 2x +1
f(-3)= -5
500
Name the function family.
Exponential
500
Terms that have the exact same variable(s) raised to the same exponents
Like Terms
500
Why is the domain x > 0?
The square root of a negative number is undefined.
500
Name the transformations.
f(x)=2(x-1)^2
Vertical stretch by a factor of 2, horizontal shift right 1
500
Evaluate f(g(3))
f(x) = 3x - 5
g(x)=x^2
f(g(x))=22