which statements are true of functions? check all that apply. all functions have a dependent variable. all…
which statements are true of functions? check all that apply. all functions have a dependent variable. all functions have an independent variable. the range of a function includes its domain. a vertical line is an example of a functional relationship. a horizontal line is an example of a functional relationship. each output value of a function can correspond to only one input value.
Answer
Brief Explanations:
- A function relates an input (independent variable) to an output (dependent variable), so all functions have both.
- The domain is the set of all possible input values and the range is the set of all possible output values. They are not inclusive of each other in general.
- A vertical line fails the vertical - line test (multiple y - values for one x - value), so it's not a function. A horizontal line passes the vertical - line test (one y - value for each x - value in its domain), so it is a function.
- Each output value can correspond to multiple input values in a function.
Answer:
- All functions have a dependent variable.
- All functions have an independent variable.
- A horizontal line is an example of a functional relationship.