Which statements are true of functions? Check all that apply.

Mathematics

1 answer:

Marina CMI [18]2 years ago

7 0

All functions have a dependent variable. TRUE

All functions have an independent variable. TRUE

The range of a function includes its domain. FALSE

[Range refers to the set of outputs the function produces, domain the set of inputs the function accepts. They don't really have to have anything to do with each other.]

A vertical line is an example of a functional relationship. FALSE

[For a function, each input (x value) maps to at most one output (y value). A vertical line has lots of ys for a single x.]

A horizontal line is an example of a functional relationship. TRUE

[It's a constant function.]

Each output value of a function can correspond to only one input value. FALSE

[A function can have the same output given different inputs, for example f(x)=x^2 has f(1)=f(-1) ]

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(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)