On a coordinate plane, a curved line with minimum values of (negative 1.56, negative 6) and (3, 0), and a maximum value of (1.2, 2.9), crosses the x-axis at (negative 2.5, 0), (0, 0), and (3, 0), and crosses the y-axis at (0, 0). Which interval for the graphed function has a local minimum of 0? [–3, –2] [–2, 0] [1, 2] [2, 4]

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frika

Answer:

[tex][2,4][/tex]

Step-by-step explanation:

On a coordinate plane, a curved line has minimum values of (negative 1.56, negative 6) and (3, 0). This means

1) when [tex]x=-1.56[/tex], the minimum value of the function is [tex]y_{min}=-6[/tex]

2) when [tex]x=3,[/tex] the minimum value of the function is [tex]y_{min}=0[/tex]

Hence, the graphed function has a local minimum of 0, when [tex]x=3.[/tex]

Therefore, the interval which contains this value of x is [tex][2,4][/tex] because [tex]x=3\in [2,4].[/tex]

Answer: [2,4]

Step-by-step explanation:

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