Question

Key Features of Graphs of Functions - Part 1

1. The following statement is false. Highlight the two words that should be
interchanged to make it a true statement.
In a function, every output value corresponds to exactly one input
value.
2 The following graph fails the vertical line test and is not a function.
у
X
leg
Part A Explain how the vertical line test shows that this relation is NOT a
function. Because it has 2 lines interseding
Bart B: Name two points on the graph that show that this relation is NOT a
function. The reason its not a function is because

Answer 1

below

Explanation:

Question 1:

In a function, every output value corresponds to exactly one input value.

The words that should be switched around are "output" and "input". This is because every input should have have only ONE output.

Question 2:

The following graph fails the vertical line test and is not a function. (YES)

Using the vertical line test to test whether the vertical line passes through the graphed function more then once. If it does, its not a function. If it doesn't, it is a function. Sadly, the vertical lines pass the point on two separate occasions which makes it not a function.

The vertical line shows gives the points (4, 2) and (4, -2).

Best of Luck!

Answer 2

See below

Explanation:

Q1.

• In a function, every output value corresponds to exactly one input

value.

The words to be interchanged are underlined. The function as per definition has exactly one output for each input.

Q2.

Part A

• Because it has 2 same input value for 2 different output values

Part B

• The two points are (4, -2) and (4, 2)