Question

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

(a) determine if the relation is a function.
(b) explain.
30)
graph with x and y axes, grid, and a piecewise linear graph: one line from (-8, -6) to (0, 2), another from (0, 2) to (-4, 8)

Explanation:

For problem 28:

Step1: Substitute $x=3$ into $f(x)$

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

Step2: Calculate powers and products

$f(3) = 9 - 6 - 4$

Step3: Compute final value

$f(3) = 9 - 10$

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 most once. For this graph, every vertical line will cross the graph at exactly one point, so it satisfies the test.

Answer:

$-1$

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For problem 30: