Question

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

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

Explanation:

Problem 28

Step1: Substitute x=3 into f(x)

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

Step2: Calculate each term

$= 9 - 6 - 4$

Step3: Simplify the expression

$= -1$

Problem 30(a)

The graph passes the vertical line test—no vertical line intersects the graph at more than one point, so each x-value maps to exactly one y-value.

Problem 30(b)

A vertical line test checks if each input (x) has only one output (y). For this graph, any vertical line will cross the graph at most once, satisfying the definition of a function.

Answer:

-1