Answer:
f(-4) = 1
f(0) = 1
f(1) = - 
Step-by-step explanation:
1 if x ≤ -2
f(x) = -(x - 1)² + 2 if -2 < x < 1
- 
x - 1 if x ≥ 1
To find f(-4)
∵ -4 < -2
- That means we will use f(x) = 1 because value of x in this
part is ≤ -2
∴ f(x) = 1
- Substitute x by -4, and remember f(x) = 1 is a constant function
which means the value of y for any value of x is 1
∴ f(-4) = 1
To find f(0)
∵ -2 < 0 < 1
- That means we will use f(x) = -(x - 1)² + 2 because value of x in this
part is between -2 and 1
∴ f(x) = -(x - 1)² + 2
- Substitute x by 0
∴ f(0) = -(0 - 1)² + 2
∴ f(0) = -(-1)² + 2
∴ f(0) = -1 + 2
∴ f(0) = 1
To find f(1)
∵ 1 ≥ 1
- That means we will use f(x) = - x - 1 because value of x in this
part ≥ 1
∴ f(x) = - x - 1
- Substitute x by 1
∴ f(1) = - (1) - 1
∴ f(1) = - - 1
∴ f(1) = -
Answer:
The total cost y of a meal.....
Step-by-step explanation:
The total cost of the meal Y suggests addition, which if you added the x and w portions, you would end up with y.
The other answers suggest subtraction, division, or multiplication, which is not being illustrated by the model.
Answer:
LINEAR
Step-by-step explanation:
Look at the y-values. As x increases, y increases each time by 9 units.
This indicates an arithmetic progression. The function is LINEAR.
Answer:
First i tough 8.5, but then realized the 2's
would go for 17
Answer:
12,000 m³
Step-by-step explanation:
- Area of it's base = 900 m²
- Height of the pyramid = 40 m
The volume of a pyramid = 1/3 × area of base × height
= 1/3 × 900 × 40
= 300 × 40
= 12,000 m³
