Question

Evaluate 2x−5 for the piecewise function given as:

{−x+4,if x<−1
8(x)=3,if −1​when x=0.
a) -1
b) 3
c) 5
d) 4

Answer 1

The correct answer is option (b) 3.For a given piecewise function, the correct value of the function when x=0 is provided directly by one of the 'pieces', indicating that h(x)=3.

Step-by-step explanation:

We are given a piecewise function and need to evaluate 2x−5 at x=0. The piecewise function defined provides a value for the function h(x) at specific intervals of x, but we are only given one piece with a condition that matches our requirement: when x=0, h(x)=3.

Hence, when evaluating 2x−5 for x=0, it is irrelevant what 2x−5 would be, since the h(x) gives a direct value of 3 for x=0. We do not need to substitute x into the expression 2x−5, since the piecewise function has already defined the value of h(x) at that point.

In the given piecewise function, we need to evaluate 2x-5 when x=0. Since x=0 satisfies the condition -1​​< x <​​1, the output of the function is 3. Therefore, the value of 2x-5 for the given piecewise function when x=0 is 3.