Question
Find the average rate of change of the function 
- 0.881
- 0.288
- 2.881
- 1.288
Hint:
Average = (total change in value of functions)/ (change in value of variable).
The correct answer is: 0.288
We have to find the average rate of change of r(x) = √(x-4) between 5 and 10.
Average rate 
.
Hence, the correct option is B.
Average = difference in value of the function at extreme values of the variable divided by the difference in the extreme values of the variable.
Related Questions to study
Evaluate 
for the variable x = 3 to the nearest hundredth.
To find the value of a function, we have to put the value of the variable given.
Evaluate for the variable x = 3 to the nearest hundredth.
To find the value of a function, we have to put the value of the variable given.
Write an expression for the function which has a translation by 7 units down of 
There are 4 types of transformations vertical stretch, horizontal stretch, horizontal translation and vertical translation.
Write an expression for the function which has a translation by 7 units down of
There are 4 types of transformations vertical stretch, horizontal stretch, horizontal translation and vertical translation.
Find the x-intercept and y-intercept of 
.
Here we used the concept of intercepts. The points on a graph where the graph crosses the two axes are known as the intercepts (x-axis and y-axis). The x-coordinate is the location where the graph crosses the x-axis, and the y-coordinate is the location where the graph crosses the y-axis. So the intercepts are x-intercept = – 1; y-intercept = 1
Find the x-intercept and y-intercept of .
Here we used the concept of intercepts. The points on a graph where the graph crosses the two axes are known as the intercepts (x-axis and y-axis). The x-coordinate is the location where the graph crosses the x-axis, and the y-coordinate is the location where the graph crosses the y-axis. So the intercepts are x-intercept = – 1; y-intercept = 1
The graph of 
is _________ of
There are 4 types of transformations vertical stretch, horizontal stretch, horizontal translation and vertical translation.
The graph of is _________ of
There are 4 types of transformations vertical stretch, horizontal stretch, horizontal translation and vertical translation.
Compare the graph of the function with the graph of f(x) = IxI. Describe the transformation. g(x) = -4Ix – 2I – 1
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
Compare the graph of the function with the graph of f(x) = IxI. Describe the transformation. g(x) = -4Ix – 2I – 1
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
Compare the graph of the function with the graph of f(x) = IxI. Describe the transformation. g(x) = (1/3)Ix + 6I – 1
Know how to visualize a graph.
Compare the graph of the function with the graph of f(x) = IxI. Describe the transformation. g(x) = (1/3)Ix + 6I – 1
Know how to visualize a graph.
Emma wants to model the sides of a pyramid by using a function that includes an absolute value expression. Emma will place the pyramid on a coordinate grid as shown. What function should she use?
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
Emma wants to model the sides of a pyramid by using a function that includes an absolute value expression. Emma will place the pyramid on a coordinate grid as shown. What function should she use?
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
One part of a dog agility course is an obstacle called an A-frame. Assume that the left corner of the A-frame corresponds to the point (0, 0). What function that includes an absolute value expression could you use to model the obstacle?
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
One part of a dog agility course is an obstacle called an A-frame. Assume that the left corner of the A-frame corresponds to the point (0, 0). What function that includes an absolute value expression could you use to model the obstacle?
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
What function g describes the graph of f after the given transformation?
f(x) = IxI; vertically stretched by a factor of 3 and reflected across the x-axis.
Know what the terms vertically stretching and reflection means.
What function g describes the graph of f after the given transformation?
f(x) = IxI; vertically stretched by a factor of 3 and reflected across the x-axis.
Know what the terms vertically stretching and reflection means.
What function g describes the graph of f after the given transformation?
f(x) = IxI; reflected across the x-axis and translated 4 units up.
Read the problem carefully in order to understand the direction of the axes.
What function g describes the graph of f after the given transformation?
f(x) = IxI; reflected across the x-axis and translated 4 units up.
Read the problem carefully in order to understand the direction of the axes.
Write a function for the graph.
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
Write a function for the graph.
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
Find the vertex of the function. f(x) = -Ix + 3.5I + 4
Find the vertex of the function. f(x) = -Ix + 3.5I + 4
Find the vertex of the function. f(x) = Ix + 0.5I
Find the vertex of the function. f(x) = Ix + 0.5I
Find the vertex of the function. f(x) = IxI + 1
Find the vertex of the function. f(x) = IxI + 1
The rates for Carolina’s dog boarding service are shown. Carolina plans on increasing the rate for the first hour by $5.
Write the step functions for the cost of boarding a dog before and after the rate increase.
Know how to solve function problems.
The rates for Carolina’s dog boarding service are shown. Carolina plans on increasing the rate for the first hour by $5.
Write the step functions for the cost of boarding a dog before and after the rate increase.
Know how to solve function problems.
