B. the graph of the function is decreasing.
Answer:
f(x)=19(2)^x
Standard form of exponential graph is f(x) = ab^x
Plugging in (0, 19), you get
19 = ab^0 -> 19 = a(1)
a=19
f(x)=19b^x
1216 = 19(b)^6
64=b^6
b=2
-> f(x) = 19(2)^x
Answer:

Step-by-step explanation:
Given

(a): Write as additive inverse.
An additive inverse is of the form a + (-b)
In this case:


So, the expression can be represented as:

(b): Number line representation
When the expression in (a) is solved.
The result is:

This means that the number line must accommodate 7 and -1.
Having said that, options (b) and (c) are out because their range is 0 to 15 and this excludes -1.
Option (d) is a wrong representation of 
Hence, (a) is correct
Answer:
Start off by expanding the square:
x^6 -2x³ + 1.
Now, we can integrate it in dx:
∫x^6 - 2x^3 + 1 dx = ∫x^6 dx - 2∫x^3 dx + ∫1 dx = (x^7)/7 - 2((x^4)/4) + x = (x^7)/7 - (x^4)/2 + x.
That's the result!