1. Suppose a graph passes the
horizontal line test: No horizontal line can be
drawn that touches the graph in more than one location. Does this mean that
the graph represents a function? If not, is there anything special about a graph
that passes the horizontal line test? Share your ideas with a classmate.
2. Dotty and Lionel are making a graph comparing a car's age with its gas
mileage. Dotty says the graph should show discrete points because the car's
age is stated in whole numbers of years. Lionel says they should make a
continuous line because age increases gradually, like time. Which student do
you agree with and why?
3. Write two linear functions, f(x) and g(x). For example, f(x) = 3x - 7 and
g(x) = -2x + 5. Then see whether f(x) - (-g(x)) is equivalent to f(x)+ g(x). Hint:
To find -g(x), just change the signs of all the terms in g(x). Discuss whether
you think your results would apply to every function. Please answer 3

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Use the vertical line test to determine whether an expression is indeed a function; if so, the expression IS one.

In any case, if the graph passes the vertical line test first, indicating that it is a function, and IF then it also passes the horizontal line test, it indicates that it is not only a function but also a one-to-one function, meaning that there is a unique x-coordinate value for every unique y-coordinate value. However, if it passes the horizontal line test, it doesn't mean much functionally. What the heck is up with the horizontal line test anyway?

The inverse expression of a function is only true for one-to-one functions.

To learn more about functions refer to:

https://brainly.com/question/11624077

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