Purchase Solution

Functions domains and range

Not what you're looking for?

Ask Custom Question

1. Find the average rate of change of f(x)=x^3-9x+9:
a) from -8 to -2
b) from -1 to 1
c) from 1 to 4

a) What is average rate of change of f (x) =x^3-9x+9 from -8 to -2?

2. The function f is defined as follows
f(x) = {4+2x if x<0
{x^2 if x>0
a) Find the domain of the function
b) Locate any intercepts
c) Graph function
d) Based on graph find range
e) Is f continuous on its domain?
a) The domain of the function f is ____.

3. Write the function whose graph is the graph of y=sqrt x, but is shifted to the left 3 units y=____.

4. Write the function whose graph is the graph of y=|x|, but is shifted down 8 units y=____.

5. Write the function whose graph is the graph is the graph of y=(x+4)^2, but is reflected about the y- axis y=____.

6. Write the function whose graph is the graph of y=x^2 but horizontally strectched by a factor of 8; y=____.

Purchase this Solution

Solution Summary

Some algebra problems related to functions are solved for their domains, range, graph etc.

Solution Preview

>1. Find the average rate of change of f(x)=x^3-9x+9:
f(-8) = (-8)^3 - 9*(-8) + 9 = -431
f(-2) = (-2)^3 - 9*(-2) + 9 = 19
f(-1) = (-1)^3 - 9*(-1) + 9 = 17
f(1) = (1)^3 - 9*(1) + 9 = 1
f(4) = (4)^3 - 9*(4) + 9 = 37
a) from -8 to -2 = (-431 - 19)/(-431) = 1.044
b) from -1 to 1 = (17 - 1)/17 = 0.941
c) from 1 to 4 = (1 - ...

Solution provided by:
Education
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
Recent Feedback
  • " In question 2, you incorrectly add in the $3.00 dividend that was just paid to determine the value of the stock price using the dividend discount model. In question 4 response, it should have also been recognized that dividend discount models are not useful if any of the parameters used in the model are inaccurate. "
  • "feedback: fail to recognize the operating cash flow will not begin until the end of year 3."
  • "Answer was correct"
  • "Great thanks"
  • "Perfect solution..thank you"
Purchase this Solution


Free BrainMass Quizzes
Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Probability Quiz

Some questions on probability

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.