Question

Determine the following values of the piecewise-defined function g(x)

G(0)
g(3)
g(5)

Answer 1

The values are:

g(0) = 1

g(3) = 9

g(5) = 15

let's find the values:

1. g(0) :

Since 0 < 3, we use the first rule 2x + 1 for x < 3 .

( g(0) = 2(0) + 1 = 1

2. g(3):

Since
`\( 3 \leq 3 < 5 \)`, we use the second rule x^2 for
`\( 3 \leq x < 5 \).`

g(3) = 3^2 = 9

3. g(5):

Since
`\( 5 \geq 5 \),` we use the third rule 3x for
`\( x \geq 5 \)`.

g(5) = 3 * 5 = 15

So,