Question

Which functions are one-to-one on the domain (−∞,∞)

(−∞,∞)?

You may find it helpful to graph the functions and use the horizontal line test.

There may be more than one correct answer. Select all that apply.

• ψ(x)=sinx

• g(x)=x^3−5

• f(x)=x^2+1

• h(x)=x^5+x−2/x^4+1

• μ(x)=x^6+2x^2/x+1

• φ(x)=arctanx

Answer 1

Horizontal line test for one-one function:-

If Horizontal line cut the given graph atmost one time then that graph is one- one.

Therefore, $g(x)=x^3−5, φ(x)=arctanx$ are one one.