Answer:
B.
f(x) and g(x) are closed under subtraction because when subtracted, the result will be a polynomial.
Step-by-step explanation:
Assume m>=n WOLOG
Are also a polynomial in general, but maybe in a different degree
Closure under subtraction means, for all polynomials, under the operation of subtraction, it also belongs to polynomials
Answer:
13. Linear Function
12. Absolute Value Function
11. Quadratic Function
10. Constant and Linear Function
Step-by-step explanation:
13. This graph is in Slope-Intercept Form, 
. The equation of this line is 
.
12. This graph obviously is an Absolute Value graph because it is in the shape of a "V".
11. This graph is in the shape of a parabola, so it is considered "Quadratic".
10. This line is constant because it is a horizontal line, but it is ALSO considered a linear function<em> </em>because it is in the form of , and the equation of this line is 
, where you have NO <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]. This is what you call horizontal lines, zero slopes.
I am joyous to assist you anytime.
Volume = 1/3 * area of base * height
= 1/3 * 11^2 * 12
= 484 cm^3
Start with the parent function f(x) = x³
Notice the function f(x) = (x - 4)³ that a value '4' is subtracted from 'x' ⇒ This means the function f(x) is translated four units to the right.
Then the function f(x) = ¹/₂ (x - 4)³, the function (x - 4)³ is halved vertically ⇒ Half the y-coordinate
Then the function f(x) = ¹/₂ (x - 4)³ + 5 that a value '5' is added to ¹/₂ (x - 4)³ ⇒ This means the function f(x) is translated five units up
So the order of transformation that is happening to f(x) = x³ is translation four units to the right, half the y-coordinate, then translate 5 units up.
Step-by-step explanation:
The answer is
X=23
Hope it helpsss
