Answer:


Step-by-step explanation:
Given
The piece wise function
Solving (a): f(0)
To solve for f(0), we make use of:

Because: the inequality
satisfies x = 0
i.e: 
So, we have:



Solving (b): f(6)
To solve for f(6), we make use of:

Because: the inequality
satisfies x = 6
i.e: 
So, we have:

Ax + By + C = 0
A. 3x + 5y + 45 = 0
3x + 5(0) + 45 = 0
3x = -45
x = -45/3......x int.....-C/A
x = -15
B. To find the x intercept, u must sub in 0 for y and solve for x
C. This is not true for a horizontal line because u can't sub in 0 for x because a horizontal line never crosses the x axis and therefore, does not have an x axis.
D. y int is -C/B....u find this by subbing in 0 for x and solving for y
3x + 5y + 45 = 0
3(0) + 5y + 45 = 0
5y = -45
y = -45/5......y int = -C/B
y = -9
<span>x^2 + 1 = 0
x^2 = -1
x =
x = i
:
(x^3 + 2x) = 0
Factor out x
x(x^2 + 2) = 0
x = 0</span>
To solve for y, you need to subtract b from both sides so only y is on the left side of the equal sign.
y = c - b