Question

Comparing Functions: Mastery Test

Answer 1

Answer:

Table 3 has a greater y intercept

Step-by-step explanation:

See attachment (1) & (2) for graph and tables

First, we have to determine the y intercept of the graph

The y intercept of any graph or table is the corresponding value of a point where $x = 0$

In the attached graph.

$x = 0$ when $y = 4$

So:

$y\ intercept = 4$

Next, we determine the y intercept of each table.

Recall that: The y intercept of any graph or table is the corresponding value of a point where $x = 0$

For table 1:

$y\ intercept = 3$

For table 2:

$y\ intercept = 2$

For table 3:

$y\ intercept = 5$

By comparison, the y intercepts of tables (1) & (2) are less than the y intercept of the graph because: 3 and 2 are less than 4

However, the y intercept of table 3 is greater than the y intercept of the graph because 5 is greater than 4.

Hence, table 3 has a greater y intercept