3-1 and 3-2 Functions and Graphs of Functions
3-3 Quadratic Functions
3-4 Graphs and Transformations
3-5 Operations on Functions
3-6 Inverse Functions
100
A set of inputs called the domain and a set of outputs called the range. And each input determines only one output
What is a function
100
The rule of a quadratic function is?
What is a polynomial of degree 2.
100
What is a function with a certain shape that has the simplest algebraic rule for that shape.
What is a parent function.
100
If f and g are functions, their ____ is function h defined by the rule: h(x)=f(x)+g(x)
What is sum.
100
Find the inverse of y=3x-2
What is x=3y-2
200
Evaluate f(x)= √(x^2+1) for f(3)
What is √10. Plug in three for x.
200
What are the two things that a quadratic formula always has?
What is a vertex and 1 y-intercept.
200
How do you shift a function vertically?
g(x)=f(x)+c (moves up) or g(x)=f(x)-c (moves down)
200
The _____ function f-g is the function defined by a similar rule: (f-g)(x)=f(x)-g(x)
What is difference.
200
Find the inverse of the function f(x)=x^2+6/2.
What is √( 2) x-6)
300
A graph represent a function if and only if it passes this test.
What is the Vertical Line Test
300
What is the line through which a parabola is symmetric called?
What is the axis of symmetry.
300
How do you shift a function horizontally?
g(x)=f(x+c) (moves left) or g(x)=f(x-c) (moves right)
300
Find f(2) f(x)=4(x)^2 +1
What is 17
300
Use composition to show that f(x)=1/x+1 and g(x)=1-x/x are inverses of each other
What is (fxg)(x)=f(1-x/x)=1/(1-x/x)+1=1/(1-x)+x/x=x and (gxf)(x)=g(1/x+1)=1-1/x+1/1/x+1=(x+1)-1/x+1/1/x+1=x
400
The highest point or peak on a graph is known as?
What is Local Maxima
400
The three forms a quadratic function can be written are?
What is Transformation, Polynomial, and X-intercept form
400
How do you reflect f(x)= 3x over the x axis?
What is g(x)= -3x
400
If f and g are functions, then the ______ function of f and g is (gxf)(x)=g(f(x))
What is composite.
400
The result of changing the input and output values of a function or relative is
What is an inverse relation?
500
The lowest point or valley on a graph is known as?
What is local minima
500
What form is this f(x)=a(x-s)(x-t)
What is X-intercept form.
500
Describe what transformations happen to f(x)= 5x g(x)= -5(x+6)
What is moved left six and reflection over x-axis.
500
A ____ point is the number c for which the orbit of c for a given function produces constant output values.
What is fixed.
500
Find the inverse of f(x)=x^2+4x
What is x=y^2+4y
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