Question5 Identify whether each relation is a function or not a function. DRAG \& DROP THE ANSWER $y=\frac{5}{3} x+5$
Function -----------------------------| Not a function

Studdy Solution

STEP 1

1. A function is a relation where each input has exactly one output.
2. The relation given is $y = \frac{5}{3}x + 5$ , which is a linear equation.
3. Linear equations of the form $y = mx + b$ are typically functions.

STEP 2

1. Analyze the given relation.
2. Determine if the relation is a function.

STEP 3

Analyze the given relation $y = \frac{5}{3}x + 5$ .
This is a linear equation in the form $y = mx + b$ , where $m = \frac{5}{3}$ and $b = 5$ .

STEP 4

Determine if the relation is a function.
For a relation to be a function, each input $x$ must correspond to exactly one output $y$ .
In the equation $y = \frac{5}{3}x + 5$ , for every value of $x$ , there is exactly one corresponding value of $y$ .
Therefore, the relation $y = \frac{5}{3}x + 5$ is a function.
The relation $y = \frac{5}{3}x + 5$ is a Function.

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