Is (x + 6) a factor of f(x) = x3 − 3x2 + 2x − 8? Show how to use either the remainder theorem or the factor theorem to explain y
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Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function ()=−(+)^−
<em><u>Answer:</u></em>
vertex = (-4, -5)
Axis of symmetry = -4
use the (-4, -5) to find the minimum value
<em><u>Solution:</u></em>
Given function is:
The equation in vertex form is given as:
Where, (h, k) is constant
On comparing give function with vertex form,
h = -4
k = -5
Vertex is (-4 , -5)
Axis of symmetry : x co-ordinate of vertex
Thus, axis of symmetry = -4
The coefficient of x^2 is positive in given function.
Thus the vertex point will be a minimum
On comparing,
a = 1
b = 8
Thus, use the (-4, -5) to find the minimum value
Domain and range
The domain is the input values shown on the x-axis
The range is the set of possible output values f(x)
Therefore,
