Question

The function g(x) is defined as shown.

StartLayout enlarged left-brace 1st row 1st column 3x minus 2, 2nd column negative 4 less-than-or-equal-to x less-than negative 2 2nd row 1st column negative x minus 1, 2nd column negative 2 less-than-or-equal-to x less-than 1 3rd row 1st column 6, 2nd column 1 less-than-or-equal-to x less-than-or-equal-to 3 EndLayout

What is the value of g(0)?

−2
−1
3
6

Answer 1

Explanation:

The given function is a piecewise function with characteristics that vary with the value of x.

Please find attached the graph of h(x).

Reasons:

The given information is presented as follows;

From the above piecewise function, we have;

For x ≤ 0, the slope of the graph of h(x) =

For 0 < x ≤ 3, the slope of the graph of h(x) =

For x ≥ 4, the slope of the graph of h(x) =

Therefore, as we progress from left to right, the slope of h(x) increases and

the slope of the graph becomes steeper.

The graph of h(x) is plotted with the given equations using MS Excel as

shown in the attached diagram.

Answer 2

B:-1

Explanation:

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