Answer:
<em>D. 5 for x less than or equal to 4, equals 2x for x between 4 and 6 including 6, and equals 4 for x greater than 6 Domain: All real number</em>s.
Step-by-step explanation:
Find the complete diagram attached
First we need to get the derivative of the functions
For the function f(x) = 5x - 6
Using the formula
If f(x) = axⁿ
f'(x) = naxⁿ⁻¹
For the function f(x) = 5x - 6
f'(x) = 1(5)x¹⁻¹
f'(x) = 5x⁰
f'(x) = 5
For the function f(x) =x²-2
f'(x) = 2x²⁻¹
f'(x) = 2x
For the function f(x) = 4x+10
f'(x) = 1(4)x¹⁻¹
f'(x) = 4x⁰
f'(x) = 4
Get the domain
The domain is the value of the input variable x for which the functions exists. For the functions given, the domain will be on all real numbers i.e the functions will exists for any value of x on the number line.
Hence Option D is correct
Answer:
$1082
Step-by-step explanation:
10% of $984
10/100 ($984)= $98.4
Earnings = ($98.4+$984)
Earnings = $1082.4
Earnings = $1082 (to the nearest cent)
Answer:
600
Step-by-step explanation:
round 2,545 to 2,400 and keep 4 the same because 24 goes into 4 six times so 2400/4 equals 600
24/4 is 6 and you add the two zeros
Translation:
5. A submarine is 420.5 m below sea level. The submarine dived 185.6 m deep and then climbed 200.9 m. Determine the new position of the submarine based on sea level.