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>
When you line the object up against the ruler you are measuring it's side, if you put it on the one instead of the zero then you're making the object one inch longer, so you'd have to subtract the one in the end
