What does the graph of a linear function look like?
its a straight line
What does the graph of an exponential function look like?
rises or falls sharply and flattens out; a "swoop"
From a table, how do you determine a quadratic function?
second differences
What type of function is this: f(x) = 3x
exponential function
y = 2x + 7 if x = -4
y = -1
Define slope
constant rate of change
rise over run
What is the standard form of an exponential function?
y=a(b)x
What is the highest degree of a quadratic equation?
2 (squared)
What type of function is this: f(x) = -x2 + 3x - 9
quadratic function
Find the solutions: x2 + 3x - 10
2 and -5
How do you determine if a function is linear?
Has a constant (slope); add or subtract the same amount each time; graph is a straight line
Where is the variable in an exponential function?
in the exponent
What shape is the graph of a quadratic function?
U-shaped curve (parabola)
The function y = 5x - 2 is what kind of function?
linear function
Evaluate y = 3(2)x when x = 4
48
What kind of slopes can a linear function have?
positive, negative, zero, undefined
What are the two types of exponential functions?
growth and decay
What is the major difference between an exponential and a quadratic function?
quadratic has an exponent of 2, exponential has an exponent of x
Which type of function would you use for this:
Joe has $75 in a savings account and he adds $35 each week
linear
CHALLENGE:
Find the value of x: 81 = 3x
4
The standard form of linear equations is ____
y = mx + b
Instead of a constant difference (slope), exponential functions have a ____
common ratio
growth factor
"multiplier"
True or False: the graphs of quadratic functions must always touch or cross the x-axis
False
Does this describe exponential growth or decay?
A chunky rhino is put on a diet and loses 0.5% of his body weight every week
decay
CHALLENGE:
Find the value of x: 128 = 4(2)x
5