Which statements are true of functions? Check all that apply. All functions have a dependent variable. All functions have an ind
ependent 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.
All function have (at least) a dependent variable. That is why you can write y = f(x), x is the independent variable, while y depends on x values, so y is the independent variable.
All function have and independent variable (explained above).
A horizontal line is an example of a funcitional relationship (because given a value of x, you can always tell the value of y)
The other statements are false:
<span>The
range of a function includes its domain is false.
Domain are the values that x can take and the range are the values that the function (y) can take. One is not included in the other.
A vertical line is an example of a
functional relationship is false, because you can not tell the value of y for any value of x.
</span> <span>Each output value of a function can correspond
to only one input value is false. An output can be generated by more than one value of x. The horizontal line is an example of that: the same value of y (output) corresponde to any value of x.</span>
