Linear Functions
Exponential Functions
Quadratic Functions
Comparing Functions
Miscellaneous
100
What type of pattern will you find in a linear function?
addition or subtraction
100
What type of pattern happens in a exponential function?
multiplication or division
100
What type of a pattern will you see in a table of values when looking at a quadratic function?
A mirror image of y-coordinates
100
In comparing the two functions, what do they have in common?
y = 2x + 4
y = x2 + 4
They both have a constant (y-intercept) of 4
100
Identify the type of function
linear function
200
What is the general shape of a linear function?
a straight line that is non vertical
200
Draw the general shape of an exponential function.
200
What is the general shape of a quadratic function?
a "U" shape
200
In order for a graph to be a function, what test must it pass?
Vertical line test
200
Name two types of exponential functions
Exponential growth and decay
300
What does the "m" and "b" stand for in a linear function?
m = slope
b = y-intercept
300
Name a special characteristic of an exponential equation?
"x" is in the exponent
300
What is the highest degree of a quadratic function?
Equations should have a power of 2
300
What is the solution to the system of equations? WHY?
y = -5x + 4
y = -5x - 10
NO solution, OR They do not intersect.
They are parallel, OR they have the same slope with different y-intercepts.
300
What other name do we call the graph of a quadratic function?
a parabola
400
What different types of slope will you see in a linear function?
What is positive, negative and zero slope?
400
How do you show division in an exponential equation?
multiply the initial value by a fraction
400
Name 4 Key features of a parabola
Vertex, axis of symmetry, zeros/roots, y-intercept
400
Given the functions, which function has a higher value at x=12.5? (round all values to the nearest 100th) and what is it's value?
y = 1.5x
y = x2
y = 1.5x
158.90
400
If a population is doubling, what type of growth is this?
exponential
500
If the slope of a particular graph works out to be 0/1, what does this mean? And what will the graph look like?
it is a horizontal line with zero slope
500
Fill in the blank: An exponential function grows or decays by a constant ______________.
percentage
500
Given the equation y =-16x2 +96x +112, What is the height at 3 seconds? What is significant about this height?
256 units, it is the maximum of the graph
500
What key feature do all functions have in common from their equation?
They all have a y-intercept
500
What is the slope of a vertical line called?
Undefined