Question

a) give an example of a polynomial p(x) without a zero (a zero is a number c such that p(c)=0)

b) Give an example of a function h(x) whose graph is above the x-axis and below the x-axis, yet h(x) does not intersect the x-axis

by example i'm assuming sketch a graph?

Answer 1

a) x^2+1

Answer 2

2) y = Sec(x)

Answer 3

http://www.wolframalpha.com/input/?i=plot+Sec%28x%29

Answer 4

2) * h(x)=Sec(x)