Average Rate of Change
What does “average rate of change” mean?
The slope between two points on a graph
What is the highest point on a graph called?
Maximum
If a rule is “add 3,” write it as a function
f(x) = x + 3
What does f(2) mean?
the value of the function when x = 2
A graph goes up from left to right. Is it increasing or decreasing?
Increasing
Find the average rate of change from (1, 3) to (4, 9)
2
What is the lowest point on a graph called?
Minimum
If f(x) = 2x, what is f(4)?
8
If f(x) = x + 4, find f(6)
10
A graph goes down from left to right. Is it increasing or decreasing
Decreasing
Find the average rate of change from (2, 5) to (6, 13)
2
What are the points where a graph crosses the x-axis called?
x-intercepts
Write a function for “multiply by 5 then subtract 2”
f(x) = 5x − 2
If f(x) = 3x, find f(5)
15
If a line is flat, what is the slope?
0
A graph increases from (1, 2) to (5, 6). What is the average rate of change?
1
What does it mean if a graph is increasing?
y-values are going up as x increases
If f(x) = x², what is f(3)?
9
If f(x) = x − 7, find f(10)
3
A situation shows constant speed. What does the graph look like?
A straight line
Find the average rate of change of a function from x = 2 to x = 6 if f(2) = 5 and f(6) = 13
2
What is the y-intercept?
Where the graph crosses the y-axis
Write a function for “divide by 2 then add 7”
f(x) = x/2 + 7
If f(x) = 2x + 1, what is f(3)?
7
If a graph curves upward, what does it show?
Increasing at an increasing rate