Function:
f(x) = x² + 3
The domain is the maximum and minimum values of x that can be put into a function to yield another value. In this case, the domain is negative infinity to positive infinity
D = (∞,-∞)
The minimum value of the function is when x is 0
The minimum value is 3
The maximum value is ∞
Therefore, the range is [3 , ∞)
For the function's inverse, the original domain will become the range and the original range will become the domain.
Answer:
Step-by-step explanation:
<u>Find the m∠B:</u>
- m∠B = (360° - 310°) + 50° = 100°
a)
<u>Find AC using law of cosines:</u>
- AC = √(8² + 13² - 28*13*cos 100°) = 16.4 km (rounded)
b)
<u>Find m∠A using law of sines:</u>
- 16.4/ sin 100 = 13 / sin A
- m∠A = arcsin (13 sin 100 deg / 16.4) = 51° (rounded)
<u>The bearing of C from A:</u>
c)
<u>Let the required distance is x:</u>
- x/ BC = sin 50°
- x = BC sin 50°
- x = 13 sin 50°
- x ≈ 10 km (rounded)
Y - 8 = (1/2)(x - 4)
y - 8 = 0.5*x - 0.5*4
y - 8 = 0.5x - 2
y = 0.5x - 2 + 8
y = 0.5x + 6 is the linear function.