Question

The equation of the piecewise defined function f(x) is below. What is the value of f(1)?

Answer 1

B) f(1) = -1

Explanation:

x = 1 lies in the second piece

f(1) = -(1)²

f(1) = -1

Answer 2

-1

Explanation:

First, we need to find which expression to use for f(1). The first function does not include 1, because it is <, and not
`\leq`

The second functions includes 1, because it has a
`\leq`, meaning greater than or equal to, so this is the function we must use.

-x^2

Plug 1 in for x

-(1^2)

Solve the exponent first

-(1)

-1

So, f(1)=-1