Parent Functions
Write the Equation
miscella-neous
Vocab & Symbols
Most Basic Function
100
The parent function given by the equation f(x)=x
What is a LINEAR FUNCTION?
100
The quadratic function translated down 3
What is g(x) = x2 - 3
100
What does it mean to reflect the graph of a function?
What is to flip the function over the x- axis or y- axis.
100
Fill in the blank: All the x-values of a function are included in the _____________.
What is Domain
100
Which parent function features both a horizontal asymptote at y=0 and a vertical asymptote at x=0?
f(x)=1/x
200
The Parent Function given by the graph:
What is a Quadratic Function?
200
The absolute value function translated to the left 7
What is f(x) = lx + 7l
200
You can use right triangles OR the unit circle to find these functions for different angles.
Trigonometric Functions
200
f(x) = has the same meaning as ...
What is y = .
200
The parent function f(x) = x^3 exhibits origin symmetry. This classifies it as which type of function?
Odd function
300
The equation of an Absolute Value parent function.
What is
f(x)=|x|
300
The cubic function reflected across the x-axis and translated down 5
What is h(x) = -x^3 - 5
300
In the equation y=a(x-h)2+k, which variable controls the horizontal shift?
What is h?
300
What does the fancy letter R (sometimes used to describe the domain or range of a function) stand for?
What is "All Real Numbers".
300
The natural logarithmic parent function, f(x) = ln(x), has a vertical asymptote at x=0. What is its exact x-intercept?
(1,0)
400
The parent functions given by the graph:
What is Reciprocal or Hyperbola function.
f(x)=1/x
400
The square root function translated right 8 and down 10
What is f(x) = sqrt(x - 8) - 10
400
Functions in this family have a variable in the exponent.
Exponential functions
400
All the y-values of a function are part of its ___________ .
What is the Range ?
400
What is the range of the parent sine function, f(x) = sin(x)?
[-1,1]
500
The equation of an Exponential parent function.
What is
f(x)=b^x
500
The absolute value function reflected and translated left 3 and up 4
What is g(x) = -lx + 3l + 4
500
Describe the domain of the graph:
x<=1/2
500
f(x) = 4x - 6
Evaluate for x = 4
f(4) = 10
500
Which of these parent functions accepts any real number as an input (domain of (-oo,oo) but only outputs non-negative values (range of [0,oo) ?
f(x)=x^3
f(x)=sqrt(x)
f(x)=x^2
f(x)=ln(x)
f(x)=sqrt(x)
f(x0=x^2