Exponents and Exponential Functions Vocabulary

Asymptote

• A line that the graph of a function gets closer to as x or y gets larger in absolute value.

• Interest paid on both the principal and the interest that has already been paid.

• The number that an exponential function repeatedly multiplies an initial amount by.

• 1 minus the percent rate of change, expressed as a decimal, for an exponential decay situation.

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Compound interest

• A line that the graph of a function gets closer to as x or y gets larger in absolute value.

• Interest paid on both the principal and the interest that has already been paid.

• The number that an exponential function repeatedly multiplies an initial amount by.

• 1 minus the percent rate of change, expressed as a decimal, for an exponential decay situation.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Constant ratio

• A line that the graph of a function gets closer to as x or y gets larger in absolute value.

• Interest paid on both the principal and the interest that has already been paid.

• The number that an exponential function repeatedly multiplies an initial amount by.

• 1 minus the percent rate of change, expressed as a decimal, for an exponential decay situation.

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Decay factor

• A line that the graph of a function gets closer to as x or y gets larger in absolute value.

• Interest paid on both the principal and the interest that has already been paid.

• The number that an exponential function repeatedly multiplies an initial amount by.

• 1 minus the percent rate of change, expressed as a decimal, for an exponential decay situation.

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Exponential decay

• Exponential decay is modeled by a function of the form 𝘺=𝘢𝘣^𝘹, with 𝟢<𝘣<𝟣.

• An exponential function is any function of the form 𝘧(𝘹)=𝘢𝘣^𝘹 where a and b are constants with 𝘢≠𝟢, 𝘣>𝟢, and 𝘣≠𝟣.A function that repeatedly multiplies an initial amount by the same positive number. You can model all exponential functions using 𝘺=𝘢𝘣^𝘹, where a is a nonzero constant, 𝘣>𝟢, and 𝘣≠𝟣.

• Exponential growth is modeled by a function of the form 𝘺=𝘢𝘣^𝘹, with 𝘣>𝟣.

• A number sequence formed by multiplying a term in a sequence by a fixed number to find the next term.

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Exponential function

• Exponential decay is modeled by a function of the form 𝘺=𝘢𝘣^𝘹, with 𝟢<𝘣<𝟣.

• An exponential function is any function of the form 𝘧(𝘹)=𝘢𝘣^𝘹 where a and b are constants with 𝘢≠𝟢, 𝘣>𝟢, and 𝘣≠𝟣.A function that repeatedly multiplies an initial amount by the same positive number. You can model all exponential functions using 𝘺=𝘢𝘣^𝘹, where a is a nonzero constant, 𝘣>𝟢, and 𝘣≠𝟣.

• Exponential growth is modeled by a function of the form 𝘺=𝘢𝘣^𝘹, with 𝘣>𝟣.

• A number sequence formed by multiplying a term in a sequence by a fixed number to find the next term.

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Exponential growth

• Exponential decay is modeled by a function of the form 𝘺=𝘢𝘣^𝘹, with 𝟢<𝘣<𝟣.

• An exponential function is any function of the form 𝘧(𝘹)=𝘢𝘣^𝘹 where a and b are constants with 𝘢≠𝟢, 𝘣>𝟢, and 𝘣≠𝟣.A function that repeatedly multiplies an initial amount by the same positive number. You can model all exponential functions using 𝘺=𝘢𝘣^𝘹, where a is a nonzero constant, 𝘣>𝟢, and 𝘣≠𝟣.

• Exponential growth is modeled by a function of the form 𝘺=𝘢𝘣^𝘹, with 𝘣>𝟣.

• A number sequence formed by multiplying a term in a sequence by a fixed number to find the next term.

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.3

CCSS.HSF.LE.B.5

Geometric sequence

• Exponential decay is modeled by a function of the form 𝘺=𝘢𝘣^𝘹, with 𝟢<𝘣<𝟣.

• An exponential function is any function of the form 𝘧(𝘹)=𝘢𝘣^𝘹 where a and b are constants with 𝘢≠𝟢, 𝘣>𝟢, and 𝘣≠𝟣.A function that repeatedly multiplies an initial amount by the same positive number. You can model all exponential functions using 𝘺=𝘢𝘣^𝘹, where a is a nonzero constant, 𝘣>𝟢, and 𝘣≠𝟣.

• Exponential growth is modeled by a function of the form 𝘺=𝘢𝘣^𝘹, with 𝘣>𝟣.

• A number sequence formed by multiplying a term in a sequence by a fixed number to find the next term.

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Geometric series

• A geometric series is the sum of the terms in a geometric sequence.

• In an exponential function of the form 𝘺= ab^x, b is the growth factor if 𝘣>𝟣.

• 
• 1 minus the percent rate of change, expressed as a decimal, for an exponential decay situation.

Tags

CCSS.HSA.SSE.B.4

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Growth factor

• A geometric series is the sum of the terms in a geometric sequence.

• In an exponential function of the form 𝘺= ab^x, b is the growth factor if 𝘣>𝟣.

• 
• 1 minus the percent rate of change, expressed as a decimal, for an exponential decay situation.

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5