The function f is defined as follows. f(x) = { 3+x if x < 0 x^2 if x >= 0 } (a) Find the domain of the function. (b) Locate any intercepts. (c) Graph the function. (d) Based on the graph, find the range. (e) Is f continuous on its domain? (a) The domain of the function f is . (Type your answer in interval notation.) (b) Locate any intercepts. Select the correct choice below and, A. The intercept(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no intercepts. (c) Choose the correct graph of f(x) below.
Added by Paul A.
Close
Step 1
To do this, we need to find the derivative of f at each point in the domain. Show more…
Show all steps
Your feedback will help us improve your experience
Aman Gupta and 66 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The function f is defined as follows: f(x) = { 4x if x ≠0 1 if x = 0 (a) Find the domain of the function. (b) Locate any intercepts. (c) Graph the function. (d) Based on the graph, find the range. (a) The domain of the function f is . (Type your answer in interval notation.) (b) Locate any intercepts. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The intercept(s) is/are . (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no intercepts. (c) Choose the correct graph below. (d) Based on the graph, find the range. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The range does not have any isolated values. It can be described by . (Type your answer in interval notation.) B. The range has at least one isolated value. It can be described as the union of the interval(s) and the set { }. (Use a comma to separate answers as needed.) C. The range consists exclusively of one or more isolated values. It can be described as { }. (Use a comma to separate answers as needed.)
Gregory H.
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 the function. (d) Based on the graph, find the range. (a) The domain of the function f is . (Type your answer in interval notation.) (b) Locate any intercepts. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The intercept(s) is/are . (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no intercepts. (c) Choose the correct graph of f(x) below. (d) Based on the graph, find the range. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The range does not have any isolated values. It can be described by . (Type your answer in interval notation.) B. The range has at least one isolated value. It can be described as the union of the interval(s) and the set {}. (Use a comma to separate answers as needed.)
Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below: f(-2) = ? f(2) = ? a. The domain is (Use interval notation.) b. The range is (Use interval notation.) c. Select the correct choice below and fill in any answer boxes within your choice. A. The x-intercept(s) is (are) (Type an integer. Use a comma to separate answers as needed.) B. There is no x-intercept. d. Select the correct choice below and fill in any answer boxes within your choice. A. The y-intercept is (Type an integer.) B. There is no y-intercept. e. f(-2) = f(2) =
Kathleen C.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD