Chapter 9: Q4. (page 597)

Consider $y = x^{2} - 7 x + 6$ . State the maximum or minimum value.

Short Answer

Expert verified

The function $y = x^{2} - 7 x + 6$ has a minimum value $x = 1.5$ .

Step by step solution

Step 1. Define the concept.

In a quadratic equation $y = a x^{2} + b x + c$ , if the coefficient of $x^{2}$ is positive, then the graph of the parabola is upward open and vertex is at the minimum and if the coefficient of $x^{2}$ is negative, then the graph of the parabola is downward open and vertex is at maximum.

The graph of any quadratic function is a parabola.

localid="1647858376445" $y = a x^{2} + b x + c$ (a is positive) – minimum

localid="1647858353989" $y = a x^{2} + b x + c$ (a is negative) – maximum

Step 2. Graphical representation of the quadratic function.

Draw the graph of the function: $y = x^{2} - 7 x + 6$ .

Step 3. State whether the function has a maximum or minimum value.

The function $y = x^{2} - 7 x + 6$ , the coefficient of $x^{2}$ is positive; it is upward open, so it has a minimum value $x = 1.5$ .

Thus, the function $y = x^{2} - 7 x + 6$ has a minimum value $x = 1.5$ .

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Consider $y = x^{2} - 7 x + 6$ . State the maximum or minimum value.

Short Answer

Step by step solution

Step 1. Define the concept.

Step 2. Graphical representation of the quadratic function.

Step 3. State whether the function has a maximum or minimum value.

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Considery=x2−7x+6. State the maximum or minimum value.

Short Answer

Step by step solution

Step 1. Define the concept.

Step 2. Graphical representation of the quadratic function.

Step 3. State whether the function has a maximum or minimum value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Decision Maths

Probability and Statistics

Pure Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Consider $y = x^{2} - 7 x + 6$ . State the maximum or minimum value.