Consider the polynomial function y=2(x−2)^3+5 when investigating and analyzing. domain [ Choose ]
range [ Choose ]
zero [ Choose ]
x-intercept [ Choose ]
y-intercept [ Choose ]
continuity [ Choose ]
increase [ Choose ]
decrease [ Choose ]
maximum [ Choose ]
minimum [ Choose ]
if x = 6 [ Choose ]
as x → -∞ [ Choose ]
as x → +∞ [ Choose ]
vertical asymptote [ Choose ]
horizontal asymptote [ Choose ]

The minimum is -5

The range is

f(14) = 2739

Step-by-step explanation:

Given

Solving (a): The minimum

A quadratic function is represented as:

If a > 0, then the function has a minimum

By comparison

--- the function has a minimum

To calculate the minimum, we first calculate the following is calculated as:

So, we have:

So, the minimum is at f(m)

We have:

Solving (b): The range

In (a), we have:

--- the minimum

This implies that the smallest value of y on the graph is -5.

So, the range is:

Solving (c): f(14)

We have:

So:

i can answer this question sweetie!

step-by-step explanation:

answer: it's upside down and i can't read it

step-by-step explanation: