Putting the FUN in Functions
Value of a function
Quadratic Functions
Domain and Range
100
the set of all x-values (or inputs) for a function.
domain
100
f(x)=x-2
Find f(-3)
-5
100
f(x) = x2 + 6x + 7
Find the vertex of the parabola
(-3, -2)
100
What is the equation of the quadratic with roots 2 and 1 and a=1.
y=(x-2)(x-1)
200
the set of all y-values (or outputs) of a function.
range
200
f(x) = 5x2 + 3x - 10
Find f(-1)
-8
200
Let f(x) = x2 + 3x -10; find the x intercepts of the parabola.
(-5, 2)
200
What is the equation of a quadratic with vertex (1,1) and y intercept 5?
y=4(x-1)2 + 1
300
A type of relationship in which one input has exactly one output (no repeating x's)
a function
300
You get a free point!!
Lucky you!
300
The point P lies on the curve and is a minimum point. Find the coordinates of P.
(3, -5)
300
What is the range of the quadratic function:
y= 3 (x-2)2 + 4
y>=4
400
Is this relationship a function?
Yes, a function. Passes the vertical line test.
400
What is f(-3)?
1
400
What is the axis of symmetry of the parabola?
x=3
400
Free Points!!
Your lucky day!
500
Does the following table represent a function?
x y
1 2
2 5
6 2
8 9
5 1
Yes! each input (x) has exactly one output (y)
500
For what value of x is f(x)=g(x)?
0 / 150 / both
500
-10
500
What is the quadratic function which passes through the points (0,0), (-6, 0) and (-1, -5)
y= x2 + 6x