Evaluate the piecewise defined function at the indicated values. {x² + 4x if x <equal/greater to -1
f(x) = { x if - 1<x< equal/greater to 1
{-1 x > 1
f(-2)=
f(-3/2)=
f(-1) =
f(0) = 0
f(25) =

Given:

Consider the piecewise function is

To find:

The value of the function at indicated values.

Solution:

We know that, are less than or equal to -1. So, for these values the function is .

For x=-2,

Similarly,

For .

For .

We know that, 0 is lies between -1 and 1. So, for this values the function is .

For x=0,

We know that, 25 is greater than 1. So, for this values the function is .

For x=25,

Therefore, the required values are, .

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

attachment?

step-by-step explanation: