Question

2 range
3 inconsistent equation
4 even function
5 odd function
6 extraneous solution
7 zero of a polynomial function
8 horizontal line test
9 exponential growth
select match
increase by the same perecentage over each unit of time
if every horizontal line intersects the graph of a function only once, then graph represents a one-to-one function
a function with origin symmetry
decrease by the same percentage over each unit of time
a solution that does not satisfy the original equation
the set of all y values
select match
select match
select match
questions filter (11)

Explanation:

Step 1: Match "Range"

The range of a function is defined as the set of all possible output values (y - values) the function can take. So we match "Range" with "the set of all \( y \) values".

Step 2: Match "Inconsistent Equation"

An inconsistent equation is one that has no solution. But in the given options, we will check other terms first and come back if needed. Wait, no, let's go step by step. Wait, the options for the first dropdown (for 2 - 9 maybe? Let's list each:

1. Range: the set of all \( y \) values (matches)
2. Inconsistent Equation: Wait, the options given: Wait the right - hand side has several options. Wait the first set of options (above the second "Select match"):

Options:

• Increase by the same percentage over each unit of time (Exponential Growth)
• If every horizontal line intersects the graph of a function only once, then graph represents a one - to - one function (Horizontal Line Test)
• a function with origin symmetry (Odd function)
• decrease by the same percentage over each unit of time (Exponential Decay, but not listed, but maybe not needed here)
• a solution that does not satisfy the original equation (Extraneous Solution)
• the set of all \( y \) values (Range)

Then 3. Inconsistent Equation: Wait, maybe I misread. Wait the left - hand terms:

1. Range
2. Inconsistent Equation
3. Even function
4. Odd function
5. Extraneous Solution
6. Zero of a polynomial function
7. Horizontal Line Test
8. Exponential Growth

Let's match each:

• Range: the set of all \( y \) values
• Inconsistent Equation: (Wait, maybe the options are for all the left terms. Wait, the "Zero of a polynomial function" is a value \( x \) such that \( f(x)=0 \), but not in the options. Wait, let's do each left term:

1. Range: matches "the set of all \( y \) values"
2. Inconsistent Equation: (No match in the given options? Wait, maybe the options are for the left terms. Wait, the user's question is about matching, so let's do each:

1. Range: the set of all \( y \) values
2. Inconsistent Equation: (Wait, maybe a mistake, but let's proceed with the ones we can match:

1. Even function: A function \( f(x) \) is even if \( f(-x)=f(x) \), it has y - axis symmetry, but not in the options. Wait, the options:

Wait the options are:

1. Increase by the same percentage over each unit of time (Exponential Growth)
2. If every horizontal line intersects the graph of a function only once, then graph represents a one - to - one function (Horizontal Line Test)
3. a function with origin symmetry (Odd function)
4. decrease by the same percentage over each unit of time (Exponential Decay)
5. a solution that does not satisfy the original equation (Extraneous Solution)
6. the set of all \( y \) values (Range)

So:

1. Range: the set of all \( y \) values

1. Inconsistent Equation: (Wait, maybe the original problem has more options, but based on the given, maybe we proceed with the ones we can:

1. Even function: (Not in the options, maybe a mistake, but let's do the ones we can)

1. Odd function: a function with origin symmetry (since \( f(-x)=-f(x) \) for odd functions, which means symmetry about the origin)

1. Extraneous Solution: a solution that does not satisfy the original equation

1. Zero of a polynomial function: A value \( x \) such that \( f(x) = 0 \), but not in the options. Wait, maybe the options are as given.

1. Horizontal Line Test: If every horizontal line intersects the graph of a function only once, then graph represents a one - to - one function

1. Exponential Growth: Increase by the same percentage over each unit of time

Answer:

1. Range: the set of all \( y \) values

1. Inconsistent Equation: (No match in given options, but proceed with others)

1. Even function: (No match in given options)

1. Odd function: a function with origin symmetry

1. Extraneous Solution: a solution that does not satisfy the original equation

1. Zero of a polynomial function: (No match in given options)

1. Horizontal Line Test: If every horizontal line intersects the graph of a function only once, then graph represents a one - to - one function

1. Exponential Growth: Increase by the same percentage over each unit of time