Vertical Line test/Functions
How do we know when something doesn't pass the vertical line test?
For each x values there are different y values
find f(2) for f(x) = x2 + 5x –24
What is -10
What is the range of the function
f(x) = 4x?
y is greater than 0
How is the graph transformed from y=x2 to y=(x-4)2
The vertex is shifted to the right 4
Find h(36) for h(x) =x1/2
What is 6?
Will this pass the vertical line test?
(5,6) (6,7) (3,9) (4,3) (5,6)
Yes
The roots of f(x) = –4(x-3)(x+6)
What are 3 and -6?
These basic functions have a domain of XER.
List 3.
What is linear, quadratic, sinusoidal, exponential
How is the graph transformed in the equation y=x2 to y= x2 - 5?
The vertex of the graph is moved down 5
What are the roots of x2 +10x+24?
-6 and -4
Will this pass the vertical line test?
(-5,-10) (-4,-11) (-14, -5) (-9, -5) (-4,11)
No
The axis of symmetry for the function f(x) = –4(x-3)(x+6)
What is x = -1.5?
The domain of f(x) = 3x + 2 is {-2 < x < 4}.
Which integer is not in the range?
Choose one
-5 -1 0 11
What is -5
How is the graph transformed from y=x2 to
y=.5(x-10) 2 +5
The graph will be wider, moved to the right 10 and up 5.
Given g (x) = 3x2 + 2x - 4, find g(2.5) + 3.25
What is 23
Will this pass the vertical line test?
(4,11) (11,4) (12,3) (4,11) (11,4) (9,10) (12,4)
No
The optimal value for the function f(x) = –4(x-3)(x+6)
What is 81?
What is the range of the relation y = 2x2 + 5x, if the domain is the set {-2, 0, 1, 2}?
-2, 0, 7, 18
How is the graph transformed from y=sin(x) to y = -2sin(x) +5
The graph is moved up 5, stretched by 2 and reflected in the x-axis.
Simplify to a positive exponent.
82(2-4) /42
1/22
What type of graphs will pass the vertical line test?
List 3
Linear, Quadratic, Exponential, Periodic etc.
Write this quadratic in vertex form f(x) = –4(x-3)(x+6)
What is f(x) = -4 (x+1.5)2+81
A function is defined by the equation y = -5x2 - 4. If the domain is 1 < x < 5, what is the minimum value?
-129
How is the graph transformed from y= 2x to y=(1/2)x?
The graphs are inverses of each other.
What are the solutions of x2 -9x - 36?
-12 and +3