A landscaper is comparing the costs of potted plants from two nurseries. Nursery P charges $15 per plant plus a $50 delivery fee
1 answer:
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Answer:
see the explanation
Step-by-step explanation:
we have
we know that
The radicand of the function cannot be a negative number
so
Solve for x
Multiply by -1 both sides
The domain of the function f(x) is the interval -----> (-∞, 0]
The domain is all real numbers less than or equal to zero
The range of the function f(x) is the interval ----> [0,∞)
The range is all real numbers greater than or equal to zero
<em>Example</em>
For x=144
----> is not true
This value of x not satisfy the domain
substitute
----> this value is undefined
For x=-144
----> is true
This value of x satisfy the domain
substitute
----> this value is defined
therefore
The function will be undefined for all those values of x that do not belong to the interval of the domain of the function
Answer:
<u>Part 1</u>
<u>Sideways or "horizontal" parabola</u> with a horizontal axis of symmetry.
<u>Part 2</u>
The vertex is the turning point: (-3, 1)
<u>Part 3</u>
Vertex form of a horizontal parabola:
where:
- (h, k) is the vertex
- a is some constant
If a > 0 the parabola opens to the right.
If a < 0 the parabola opens to the left.
Point on the curve: (-1, 2)
Substituting the vertex and the found point into the formula and solving for a:
<u>Part 4</u>
Equation for the given parabola in vertex form:
Equation in standard form: