Question

1 - Determine whether the given function is even, odd, or neither.a. $f(x) = x ^{3} \times x ^{2} - 4$b. $f(x) = 4x^{2} + x^{4}$2 - Evaluate the piece wise function at the given value of the independent variable. (picture)

Answer 1

We have a piecewise function that we should evaluate based on the condition of the independent variable

It is the value of the independent variable that will dictate which of the two equations to use

We can see that the value of the independent variable given is -3

Mathematically, -3 is not greater than 3; so this means the value of the independent variable given falls within the domain of the second part of the piece-wise function

Hence, we are to evaluate f(x) = -(x + 1) at the point x = -3

Thus;

f(-3) = -(-3 + 1)

f(-3) = -(-2)

f(-3) = 2