Question

1. $f(x)=x^2 - 2x - 4$; find $f(3)$

(a) determine if the relation is a function.
(b) explain.
30)

Explanation:

For problem 28:

Step1: Substitute x=3 into f(x)

$f(3) = 3^2 - 2(3) - 4$

Step2: Calculate each term

$3^2=9$, $2(3)=6$, so $f(3)=9 - 6 - 4$

Step3: Compute final value

$9-6-4= -1$

To determine if a relation is a function, use the vertical line test: any vertical line drawn on the graph should intersect the relation at no more than one point. For this graph, every vertical line will cross the graph at exactly one point, so it satisfies the vertical line test.

Answer:

$-1$

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For problem 30: