1. Find values of the parameter m so that the graph of the quadratic function f given by f(x) = x2 + x + 1 and the graph of the line whose equation is given by y=mx
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1. Find values of the parameter m so that the graph of the quadratic function f given by f(x) = x2 + x + 1 and the graph of the line whose equation is given by y=mx
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Answer:
To find m, we have to know how many points the lines intersects parabola.
There are two critical conditions.
1) The line is tangent to the minimum of the parabola.
2) The line is tangent to the parabola greater than zero.
{The intersection of two lines can be viewed as an equation}
We can get equation.
mx=x²+x+1 to x²+(1-m)x+1=0
Formulate the equation :
if ∆ ≥ 0 : (1-m)²-4≥0
(1-m)²≥4
1-m≥2
m≤1
M the range of values : m ≤ 1
Step-by-step explanation:
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