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1 of 8 0-day streak

Determine a power-family rule from features and points

Question 1 of 8

No calculator

Use the stated features and exact points to form the power-family rule

The rule has one endpoint and uses the principal square-root branch

The endpoint is \((3,-2)\)

\[P_1=(7,-6),\qquad P_2=(12,-8)\]

The first point determines the scale. The second point is supplied for verification

(a)3 marks

Record the exact parameter values in the normal form

(b)1 mark

Use the exact data to determine the parameterised rule

(c)1 mark

Verify the rule at the unused exact point condition