2. The graph below shows the piecewise function y = f(x). Use this graph to answer the questions that follow. When entering the domain and range you can type "<=" for less than or equal to and “>=" for greater than or equal to. To indicate all Real numbers, just say “x can be any R number". x+3 if -6

2. The graph below shows the piecewise function y = f(x). Use this graph to answer the questions that follow. When entering the domain and range you can type "<=" for less than or equal to and “>=" for greater than or equal to. To indicate all Real numbers, just say “x can be any R number". x+3 if -6

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 5SC

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Similar questions

(a) To obtain the graph of g(x)=2x1 , we start with the graph of f(x)=2x and shift it _____________ (upward/ downward) 1 unit. (b) To obtain the graph of h(x)=2x1 , we start with the graph of f(x)=2xand shift it to the (left/right) 1unit.
Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable x, that gives the amount of money, y, you will earn for working x hours in one week. b. Use the function rule you have written in part (a) to complete Table 4. c. Construct a line graph from the information in Table 4. d. State the domain and range of this function.
The ad shown at left was in the local newspaper. Suppose you are hired for the job described in the ad. a. If x is the number of hours you work per week and y is your weekly gross pay, write the equation for y. (Be sure to include any restrictions on the variable x.) b. Use the function rule you have written in part (a) to complete Table 5. c. Construct a line graph from the information in Table 5. d. State the domain and range of this function. e. What is the minimum amount you can earn in a week with this job? What is the maximum amount?
The graph of fx=1/x is a .
The graph of f(x)=3x is reflected about the y-axisand stretched verticallyby a factor of 4. What isthe equation of the new function, g(x) ? State itsy-intercept, domain, and range.