Domain is the numbers you can use
we can use all real numbers for this one
rangge is the numbers we get from inputting the domain
well, this is a 4th degree, so we need to find the minimum,because the leading coefient is positive so it opens up, and as x approaches negative and positive infinity, then f(x) approaches infnity
find minimum
take derivitive
f'(x)=4x^3-18x^2-8x+54
the zeroes are at about -1.652 and 1.9381 and 4.2145
we use a sign chart
the minimum occurs at hwere the derivitive changes from negative to positive
that is at -1.652 and 4.2145
evaluate f(-1.652) and f(4.2145)
f(-1.652)=-110.626
f(4.2145)=-22.124
the least value is -110.626
that is the minimum
so the domain is all real numbers
range is from -110.626 to infinity
Answer:
a = 9, b = 3
Step-by-step explanation:
The exponential function is
y = a 
Find a and b by using the points it passes through
Using (0, 9 ) then
9 = a
(
= 1 )
a = 9
y = 9 
Using (3, 243 ) then
243 = 9b³ ( divide both sides by 9 )
27 = b³ ( take the cube root of both sides )
b =
= 3
y = 9
← exponential equation
Answer:
Step-by-step
To convert radians to degrees, multiply by 180π , since a full circle is 360° or 2π radians.
Answer:60
90-30=60
Step-by-step explanation:
Answer:
x = 0
Step-by-step explanation:
-3x + 2 (x + 3) = 6
-3x + 2x + 6 = 6
-x = 6 - 6
x = 0
Hope this helps!