Question

State the following . Be sure to use the correct interval notation using () or [] when needed

Answer 1

Solution

Step 1

Write the function

$y\text{ = 2x}^3-3x^2$

Step 2

A

The domain is from negative infinity to positive infinity.

$Domain\text{ }is\:\left(-\infty\:,\:\infty\:\right)$

Step 3

B

The range is from negative infinity to positive infinity.

$Range\text{ }is\text{ }\left(-\infty\:,\:\infty\:\right)$

Step 4

C

A function is said to be continuous on an interval when the function is defined at every point on that interval and undergoes no interruptions, jumps, or breaks.

$Interval\text{ of continuity is }\left(-\infty\:,\:\infty\:\right)$

Step 5

D

The absolute minimum (1, -1)

Step 6

E

Interval of decrease

$0\text{ }\leq\text{ f\lparen x\rparen }\leq\text{ 1}$