Answer:
f(-3) = -2
f(-2.6) = -2
f(0.6) = 2.4
f(4.5) = 8.5
Step-by-step explanation:
(Whole question:
Evaluate the piecewise function for the given values.
Find f(-3), f(-2,6), f(0.6), and f(4.5) for f(x)={ -2 If x ≤ 0 4x. If 0 <x <1. x + 4. If x ≥ 1)
As the piecewise function shows, the function f(x) has the value of -2 for values of x lesser or equal than 0, has the value of 4x if the value of x is between 0 and 1, and has the value of x+4 for values of x greater or equal than 1.
So, for f(-3), the value of x is lesser than 0, so we have that f(-3) = -2
For f(-2.6), the value of x is lesser than 0, so we have that f(-3) = -2
For f(0.6), the value of x is between 0 and 1, so we have that f(0.6) = 4*0.6 = 2.4
For f(4.5), the value of x is greater than 1, so we have that f(4.5) = 4.5 + 4 = 8.5
Answer:
21 square units
Step-by-step explanation:
The sides of the rectangle are aligned with the coordinate grid, so we can easily find its dimensions.
AB lies on the line y = -2, so the horizontal extent is the difference in x-values:
6 - 3 = 3
BC lies on the line x = 6, so the vertical extent is the difference in y-values:
5 -(-2) = 7
The area is the product of these two dimensions:
A = LW = (7)(3) = 21 . . . . square units
The area of the rectangle is 21 square units.
I think that would be 9 I am not sure.