Answer: The domain is all real numbers, and the range is all real numbers greater than or equal to –4.
Step-by-step explanation:
Since, the given function is,
f(x) = (x+2)(x+6)
⇒
Which is the equation of parabola, ( that opened up)
Since, the vertex of the parabola is (-4,-4)
Therefore, the value of y will be not less than -4 ( because it is an upward parabola)
Thus, the range of the given function is all real number greater than or equal to –4.
Also, we know that the domain of all parabola is always the set of real numbers.
Thus, the domain of the given function is the set of all real numbers.
Therefore, first option is correct.
Answer:
f(x) = -8(4)x
Step-by-step explanation:
The reflection of the point (x,y) across the x-axis is the point (x,-y).
Having said this, to reflect the function y=g(x) = 8(4x) over the x-axis, we just need to evaluate the equation in the point: (x,-y).
y = 8(4x) ⇒ -y = 8(4x) ⇒ y = -8(4x)
Then f(x) = -8(4x)
Attached you will find the graph of g(x) (blue) and f(x) (red),
