Questions: Marbel draws the graph of the function (f(x)=2 x^2-12 x+14). Complete the inequality to show the range of this function using the graph. (4 point) The range of the function is (y) ?

Marbel draws the graph of the function (f(x)=2 x^2-12 x+14). Complete the inequality to show the range of this function using the graph. (4 point)

The range of the function is (y) ?

Transcript text: Marbel draws the graph of the function $f(x)=2 x^{2}-12 x+14$. Complete the inequality to show the range of this function using the graph. (4 point) The range of the function is $y$ ? $\square$

Solution

Solution Steps

Step 1: Find the vertex

The vertex of the parabola is given in the graph as (3, -4).

Step 2: Determine the direction of the parabola

The parabola opens upwards. This means the y-value of the vertex is the minimum value of the function.

Step 3: Write the range

Since the parabola opens upwards and the minimum y-value is -4, the range of the function is $y \ge -4$.

Final Answer

$y \ge -4$

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