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Key Features Of Exponential Functions By Equations

What happens to the graph of an exponential growth function as the value of 'b' increases?

Contracts

Expands

In the equation $y=ab^x$ , what does 'b' represent?

Initial value

Base

How does the graph of an exponential decay function behave as the value of 'b' decreases?

Contracts

Expands

What happens to the graph of an exponential function if the base 'b' is between 0 and 1?

Shifts left

Reflects over the y-axis

1769. What term describes the horizontal line that an exponential function approaches but never touches as x approaches negative or positive infinity?

Asymptote

Vertex

What happens to the graph of an exponential function as the exponent approaches negative infinity?

Approaches zero

Increases without bound

How does changing the sign of the exponent in an exponential function affect its graph?

Vertical shift

Reflects over the x-axis

What is the key characteristic of the graph of an exponential function when the base 'b' is equal to 1?

Linear

Quadratic

In the equation $y=ab^x$ , what is the role of 'a' in determining the behavior of the graph?

Rate of change

Vertical shift

In the equation $y=ab^x$ , what does 'a' represent?

Initial value

Growth rate

Questions

Time

Score

Key Features Of Exponential Functions By Equations

What happens to the graph of an exponential growth function as the value of 'b' increases?

Contracts

Expands

In the equation $y=ab^x$ , what does 'b' represent?

Initial value

Base

How does the graph of an exponential decay function behave as the value of 'b' decreases?

Contracts

Expands

What happens to the graph of an exponential function if the base 'b' is between 0 and 1?

Shifts left

Reflects over the y-axis

1769. What term describes the horizontal line that an exponential function approaches but never touches as x approaches negative or positive infinity?

Asymptote

Vertex

What happens to the graph of an exponential function as the exponent approaches negative infinity?

Approaches zero

Increases without bound

How does changing the sign of the exponent in an exponential function affect its graph?

Vertical shift

Reflects over the x-axis

What is the key characteristic of the graph of an exponential function when the base 'b' is equal to 1?

Linear

Quadratic

In the equation $y=ab^x$ , what is the role of 'a' in determining the behavior of the graph?

Rate of change

Vertical shift

In the equation $y=ab^x$ , what does 'a' represent?

Initial value

Growth rate

Incorrect

Great!

Questions

Time

Score

Key Features Of Exponential Functions By Equations

What happens to the graph of an exponential growth function as the value of 'b' increases?

Contracts

Expands

In the equation ﻿y=abxy=ab^xy=abx﻿ , what does 'b' represent?

Initial value

Base

How does the graph of an exponential decay function behave as the value of 'b' decreases?

Contracts

Expands

What happens to the graph of an exponential function if the base 'b' is between 0 and 1?

Shifts left

Reflects over the y-axis

1769. What term describes the horizontal line that an exponential function approaches but never touches as x approaches negative or positive infinity?

Asymptote

Vertex

What happens to the graph of an exponential function as the exponent approaches negative infinity?

Approaches zero

Increases without bound

How does changing the sign of the exponent in an exponential function affect its graph?

Vertical shift

Reflects over the x-axis

What is the key characteristic of the graph of an exponential function when the base 'b' is equal to 1?

Linear

Quadratic

In the equation ﻿y=abxy=ab^xy=abx﻿ , what is the role of 'a' in determining the behavior of the graph?

Rate of change

Vertical shift

In the equation ﻿y=abxy=ab^xy=abx﻿ , what does 'a' represent?

Initial value

Growth rate

Incorrect

Great!

In the equation $y=ab^x$ , what does 'b' represent?

In the equation $y=ab^x$ , what is the role of 'a' in determining the behavior of the graph?

In the equation $y=ab^x$ , what does 'a' represent?