Consider the function y = x2 + 4. What is the average rate of change from x = 1 to x = 5
6
What is the slope and y-intercept of the following function?
y=-x/2+6
\text{slope}=-1/2
\text{y-intercept}=6
The "a", "b" and "c" of the quadratic function
y= 1 - 2x2+ 3x
a=-2, b=3 and c=1
The _______ of exponential functions is always all real numbers.
Domain
What kind of sequence is this? 2, 4, 6, 8,...
Arithmetic Sequence
Consider the function y = x2 + 1. What is the average rate of change from x = -1 to x = 3
2
Find the equation of this graph.
y=3/4x - 4
What is the y-intercept of the following function?
f(x)=x^2+14x-14
y=-14
(0,-14)
The standard form used for exponential functions.
y = a(b)x
Find the next term:
-12, -9, -6, ________
-3
What is the slope of the line passing through the points (-4,3) and (-5,2)
1
How can you tell if given a table of values with points from a graph that it is a linear function?
The y -values will be added or subtracted by the same number.
The coordinates of the y-intercept for the quadratic function:
y=-2x2 + 5x - 7
(0,-7)
You deposit $100 in a bank at 10% interest. How much will you have after one year?
$110
Find the tenth term in the sequence
an = 4(n-1)
262,144
Find the average rate of change on the graph of
y = x2 +4x +1 on the interval -1<x<4
7
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. How much money will she make for babysitting for 8 hours?
y=5c+3
$43
How can you tell if given a table of values with points from a graph that it is a quadratic function?
The y-values will be added and/or subtracted by different numbers
How can you tell if given a table of values with points from a graph that it is a exponential function?
The y-values will be multiplied.
Identify whether this table has a common ratio, common difference or neither
Neither
For f(x) = x3 -1, find the average rate of change from x = 0 to x = 2
4
A company sells doughnuts. They incur a fixed cost of $25,000 for rent, insurance, and other expenses. It costs $0.25 to produce each doughnut.
a) Write the linear function to represent the company's cost as a function of the number of doughnuts produced.
\text{a. }f(x)=0.25x+25000
Identify the following as linear, exponential, quadratic, or neither
7. exp0
8. linear
10. quadratic
11. exp0
A population of bacteria doubles every hour. If the culture started with 10 bacteria, write an equation to model the bacteria's the population as a function of time.
y=10(2)^t
Identify the common ratio
The common ratio of 3