Y = x + 6
Subtract 6 from each side:
Y - 6 = X
Answer:
p = 5/7
Step-by-step explanation:
The given function is:
for -4 ≦ x < 1
for 1 ≦ x ≦ 5
Part a)
A continuous function has no breaks, jumps or holes in it. So, in order for g(x) to be continuous, the point where g(x) stops during the first interval -4 ≦ x < 1 must be equal to the point where g(x) starts in the second interval 1 ≦ x ≦ 5
The point where, g(x) stops during the first interval is at x = 1, which will be:

The point where g(x) starts during the second interval is:

For the function to be continuous, these two points must be equal. Setting them equal, we get:
3 = 7p - 2
3 + 2 = 7p
p = 
Thus the value of p for which g(x) will be continuous is
.
Part b)
We have to find p by setting the two pieces equal to each other. So, we get the equation as:

Substituting the point identified in part (a) i.e. x=1, we get:

This value agrees with the answer found in previous part.
The answer is Decreasing nonlinear
Because its decreasing but its not decreasing at the same rate
Answer:
x<2 is your answer
Step-by-step explanation:
-2x+4>-4x+8
subtract each term by 8
-2x+4-8>-4x+8-8
add both side by 2x
-2x+2x-4>-4x+2x
-4>-2x
dividing both term by -2
-2x/-2<-4/-2
x<2
Using the unit circle, you can visualise the secant as follows:
- Draw the vertical line passing trough (1,0)
- Extend the radius until it meets this line at point P
- The length of OP is the secant of your angle.
Since -90 means that the radius points downwards, it means that the radius is vertical as well, and thus it never meets the vertical line through (1,0).
Thus, the secant is not defined at -90.
In fact, if we switch back to the function notation, we can confirm this claim, since we have

which is undefined.