For this case we must find the domain of the following function:
By definition, the domain of a function is given by all the values for which the function is defined.
In this case, the argument of the expression must be greater than 0 to be defined.
Thus, the domain of the function is given by all the values of x greater than -2.
Answer:
Domain:
Answer:
Infinite.
Step-by-step explanation:
Expand:
Add 6 to both sides:
Subtract 3x from both sides:
No matter what x is, it doesn't affect the answer. Thus, the equation is true for all values of x.
Answer:
Step-by-step explanation:
The axis of symmetry can be calculated using the formula:
First we must determine a and b from the quadratic: . This is in standard form, with the highest power first in descending order.
Standard form is also:
If we compare this to the quadratic given, we can conclude that:
Substitute the values for a and b into the formula.
Multiply in the denominator.
Divide.
This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.
