Question

Use the Intermediate Value Theorem to show that the given function has a zero in the interval [0, 2].

Answer 1

See below for answer and explanation

Explanation:

The Intermediate Value Theorem (IVT) states that there is a value
`c` in
`[a,b]` such that
`f(c)=0`. Because
`f(0)=0^2+5(0)-4=-4` and
`f(2)=2^2+5(2)-4=10`, this must mean that 0 is in between -4 and 10, which concludes that there is a zero over the interval [0,2] for the given function by IVT.