What type of function is f(x)? g(x)? and h(x)? Explain.
What observations did you make about the table of values and graph of f(x)?Explain how this relates to the function and why you think this happened.
What observations did you make about the table of values and graph of g(x)? Explain how this relates to the function and why you think this happened.
What observations did you make about the table of values and graph of h(x)? Explain how this relates to the function and why you think this happened.
Look up the mathematical definition for domain and write what domain means in your own words. How do your observations made about each function and table of values relate to this definition? Explain.
What do your think would be an appropriate domain for a function representing the population of deer from the years 1975-2005? Explain.
1. f(x) is a quadratic function, because of the x squared. Plus, when i graph the function, it shapes up to a parabola.
g(x) is a square root function.
h(x) is a logarithmic function,when the polynomial in the denominator is 0 then the rational function becomes infinite or the assymptote in its graph.
2. The f(x) values on the table are the same for both positive and negative number (ex: -5 = 20 - 5 = 20). This is probably because the graph shapes up to make a parabola, and a parabola is symmetrical.
3. I noticed that in the g(x) function, there was a lot of "errors" in the table of contents. That's because the graph has a starting point, and becausethere can't be negative numbers inside a square root.
4. For the last graph, the logarithmic graph, I noticed that there were a lot of decimals for h(x). This is probably because this kind of graph has an assymptote. The graph will never touch, though it will get pretty close, to the assymptote.
5. Domain: The domain of a function is the set of all possible input values (usually x), which allows the function formula to work.
The domain of the function determines the shape of the graph.
1. f(x) is a quadratic function, because of the x squared. Plus, when i graph the function, it shapes up to a parabola.
g(x) is a square root function.
h(x) is a logarithmic function,when the polynomial in the denominator is 0 then the rational function becomes infinite or the assymptote in its graph.
2. The f(x) values on the table are the same for both positive and negative number (ex: -5 = 20 - 5 = 20). This is probably because the graph shapes up to make a parabola, and a parabola is symmetrical.
3. I noticed that in the g(x) function, there was a lot of "errors" in the table of contents. That's because the graph has a starting point, and becausethere can't be negative numbers inside a square root.
4. For the last graph, the logarithmic graph, I noticed that there were a lot of decimals for h(x). This is probably because this kind of graph has an assymptote. The graph will never touch, though it will get pretty close, to the assymptote.
5. Domain: The domain of a function is the set of all possible input values (usually x), which allows the function formula to work.
The domain of the function determines the shape of the graph.