Suppose that a function f has a domain of [3, 14] and a range of [3, 15]. What are the domains and ranges of the following functions? Answer using interval notation. (a) f(x)+5 Domain Range (b) f(x+5) Domain Range (c) f(5x) Domain Range (d) 5 f(x) Domain Range
Added by Stephanie M.
Close
Step 1
This means that the input values of *f*(*x*) can be any number between 3 and 14, inclusive. Show more…
Show all steps
Your feedback will help us improve your experience
Linh Vu and 101 other Calculus 1 / AB 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
Suppose that $f(x)$ has domain $[4,8]$ and range $[2,6] .$ Find the domain and range of: $$ \begin{array}{ll}{\text { (a) } f(x)+3} & {\text { (b) } f(x+3)} \\ {\text { (c) } f(3 x)} & {\text { (d) } 3 f(x)}\end{array} $$
PRECALCULUS REVIEW
Real Numbers, Functions, and Graphs
Suppose that $f$ has domain $[4,8]$ and range $[2,6] .$ Find the domain and range of: $$ \begin{array}{ll}{\text { (a) } y=f(x)+3} & {\text { (b) } y=f(x+3)} \\ {\text { (c) } y=f(3 x)} & {\text { (d) } y=3 f(x)}\end{array} $$
Let $y=f(x)$ be a function with domain $D=[-6,-2]$ and range $R=[-10,-4]$. Find the domain $D$ and range $R$ for each function. (a) $y=\frac{1}{2} f(x)$ (b) $y=f(2 x)$ (c) $y=f(x-2)+5$ (d) $y=f(x+4)-1$ (e) $y=f(-x)$ (f) $y=-f(x)$ (g) $y=f(|x|)$ (h) $y=|f(x)|$
Functions and Graphs
Graphs of Functions
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD