Find a Formula for the Slope of the Graph Of f

question 77

Multiple Choice

Find a formula for the slope of the graph of $f$ at the point $( x , f ( x ) )$ .Then use it to find the slope at the given point. $f ( x ) = 3 - x ^ { 2 } , \quad ( - 1,2 )$

• A) \(\begin{array} { l }
• m = - 2 x \\
• \text { At } ( - 1,2 ) , m = \frac { 1 } { 2 }
• \end{array}\)
• B) \(\begin{array} { l }
• m = - 2 x \\
• \text { At } ( - 1,2 ) , m = 2
• \end{array}\)
• C) \(\begin{array} { l }
• m = 2 x \\
• \text { At } ( - 1,2 ) , m = 2
• \end{array}\)
• D) \(\begin{array} { l }
• m = - 3 x \\
• \text { At } ( - 1,2 ) , m = 2
• \end{array}\)
• E) \(\begin{array} { l }
• m = 2 x \\
• \text { At } ( - 1,2 ) , m = - 3
• \end{array}\)

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Definitions:

Hardy-Weinberg Equation

The Hardy-Weinberg Equation is a mathematical formula used to predict the genetic variation and allele frequencies within a non-evolving population, assuming no mutation, selection, or migration.

Allele Frequency

The proportion of a specific allele (gene variant) at a given locus within a population, shown as either a fraction or a percentage.

Average Excess Fitness

The average contribution of an allele to the fitness of individuals in a population compared to individuals without the allele, affecting its frequency over generations.

Selection Effectiveness

The degree to which natural selection is able to influence the frequency of alleles in a population, impacting genetic diversity.