Is It a Function
Properties of Functions
Parent Functions
Transformations
Random
100
Yes, this is a function because the x value has exactly one output.
100
Is this an increasing, decreasing, or constant graph
Increasing
100
This is a quadratic function
100
down 4
100
Is this graph increasing, decreasing, or constant
Decreasing
200
y=4x±3
No, because with one input there will be multiple outputs which doesn't make it a function.
200
Is this a minimum or maximum?
none
200
This is a absolute value function
200
y=-f(x-4)+5
Reflection across over the x-axis, right 4, up 5
200
Is this a function and what parent function is it?
Absolute value and it is a function
300
Yes, this is a cubic function
300
Is this a min. or max.
Minimum
300
This is a rational function
300
y=(x+2)^2-5
quadratic equation left 2 and down 5
300
What kind of function is this?
y=2^x+3x-4
This is an exponential
400
This is a function and a rational function.
400
How many local minimums and maximums are there?
2 maximums and 2 minimums
400
y=5^x+2x+5
This is a exponential function
400
y=-2(x-3)^2+4
Quadratic equation reflection across x axis, vertically stretched by 2, right 3, and up 4
400
What type of function is this and what is its transformations?
y=-(x+3)^2-2
A quadratic equation and it is reflected across the x axis, left 3, and down 2
500
5x^3 + 2x + 1 = 0
Yes this is a function
500
What would be the rate of change if the two points are at (7,5) and (11,11)
3/2 because you put 11-5 over 11-7 which is 6/4 which reduces to 3/2
500
y=(2/2x+3)+2
This is a rational function
500
y=-2(2^x+3)-2
Exponential function reflect across x axis, vertical stretch of 2, left 3, and down 2
500
What would be the rate of change if the two points were (2,2) and (11,11)?
It would be 1