Find the X-Intercepts of the Polynomial Function $$f ( x ) = - x ^ { 2 } ( x + 7 ) \left( x ^ { 2 } + 1 \right)$$

question 294

Multiple Choice

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept.
- $$f ( x ) = - x ^ { 2 } ( x + 7 ) \left( x ^ { 2 } + 1 \right)$$

• A) 0 , touches the \(x\)-axis and turns around;
• \(- 7\), crosses the \(x\)-axis
• B) 0 , touches the \(x\)-axis and turns around;
• 7 , crosses the \(x\)-axis
• C) 0 , touches the \(x\)-axis and turns around;
• \(- 7\), crosses the \(x\)-axis;
• \(- 1\), touches the \(x\)-axis and turns around
• D) 0 , touches the \(x\)-axis and turns around;
• \(- 7\), crosses the x-axis;
• \(- 1\), crosses the \(x\)-axis;
• 1 , crosses the \(x\)-axis;

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Definitions:

Relative Risk

A measure that compares the risk of a certain event occurring in two different groups.

Standard Error

A statistic that measures the accuracy with which a sample distribution represents a population by using standard deviation.

Sample Proportions

The fraction of sample observations that belong to a particular category, indicative of a characteristic within the sample.

Electromagnetic Radiation

A form of energy that is propagated through space or matter, consisting of both electric and magnetic waves traveling at the speed of light.