Answer:
Domain -∞ < x < +∞
Range f(x) ≤ - 4
Step-by-step explanation:
The given quadratic function is f(x) = - 4 (x + 1)² - 4
Now, we have to find the domain and range of the quadratic function.
Now, it is clear from the given function that f(x) will have real value for all real value of x.
Therefore, the domain of the function is -∞ < x < +∞ (Answer)
Now, (x + 1)² is always ≥ 0
i.e. (x + 1)² ≥ 0
⇒ - 4 (x + 1)² ≤ 0 {Since the inequality sign changes for multiplying both sides of the equation by a negative term}
⇒ - 4 (x + 1)² - 4 ≤ - 4
⇒ f(x) ≤ - 4
Therefore, this is the required range of the function f(x). (Answer)
Answer:
times
Step-by-step explanation:
Given
Let
Park Crest Middle School
Total
So, we have:
Required
Determine the number of times T is greater than P
This is calculated by dividing T by P.
i.e.
So, we have:
Approximate
As a power of 10, we have:
Answer:
C- -15
Step-by-step explanation:
f(-5) = f(x)
the value of x = -5
Therefore
f(-5) = -15
Answer: 36mm
Step-by-step explanation:
All sides are multiplied by a factor of 9. 9 x 4 = 36
Conduction:transfer of energy by movement of particles
Convection:transfer of energy by contact of particles
Radiation:transfer of energy by electromagnetic waves
Hope that helped
