Answer:
B'= (0,7)
E'= (3,6)
A'= (5,3)
R'= (2,1)
S'= (-1,4)
Step-by-step explanation:
Add 6 to all x's and add 8 to all y's.
Answer:
![(-\infty, -5] \cup (4,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%20-5%5D%20%5Ccup%20%284%2C%5Cinfty%29)
Step-by-step explanation:
The symbol 
is set notation for UNION--put two sets together into one set.
The first part of the interval notation describes x less than or equal to -5 -- notice the bracket symbol after -5, meaning include -5.
Answer:
At (-2,0) gradient is -4 ; At (2,0) gradient is 4
Step-by-step explanation:
For this problem, we simply need to take the derivative of the function and evaluate when y = 0 (when crossing the x-axis).
y = x^2 - 4
y' = 2x
The function y = x^2 - 4 cross the x-axis when:
y = x^2 - 4
0 = x^2 - 4
4 = x^2
2 +/- = x
Hence, this curve crosses the x-axis twice, once at (-2,0) and again at (2,0).
The gradient at these points are as follows:
y' = 2(-2) = -4
y' = 2(2) = 4
Cheers.
Answer:
2.4
Step-by-step explanation:
