I am currently an incoming Sophomore at Carnegie Mellon University pursuing a major in Materials Science and Engineering with a minor in Biomedical Engineering and Statistics. I have had experience in the past, tutoring friends for math and chemistry. I also started my own club in high school that was dedicated to allowing students to explore the most enjoyable parts of science through carefully thought out labs. In college I am a part of the Future Leaders of Science which goes around to high schools in Pittsburgh and teaches kids about scientific concepts. I am very excited at the possibility of working with Numerade because I would like to get a chance to help create videos that would help students all over the world learn mathematical concepts.
If the domain of the function $f(x)=|3-x|$ is the set of real numbers less than $3,$ is the function one-to-one? Explain why or why not.
Megan said that if $a>1$ and $g(x)=\frac{1}{a} \mathrm{f}(x),$ then the graph of $\mathrm{f}(x)$ is the graph of $\mathrm{g}(x)$ stretched vertically by the factor $a$ . Do you agree with Megan? Explain why or why not.
In $3-6,$ each set represents a function. a. What is the domain of each function? b. What is the range of each function? c.Is the function one-to-one? $$\{(1,4),(2,7),(3,10),(4,13)\}$$
In $3-6,$ each set represents a function. a. What is the domain of each function? b. What is the range of each function? c.Is the function one-to-one? $$\{(2,7),(3,7),(4,7),(5,7),(6,7)\}$$
In $7-12,$ determine if each graph represents a one-to-one function.
