Illustrative Math - Algebra 2 - Unit 5 - Lesson 9

Posljednje ažuriranje over 1 year ago

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Illustrative Math - Algebra 2 - Unit 5 - Lesson 9

Posljednje ažuriranje over 1 year ago

Here are graphs of functions f and g. For each, determine the value of k so that g(x)=f(kx).

F.BF.3

F.IF.4

Here are graphs of functions f and g. For each, determine the value of k so that g(x)=f(kx).

F.BF.3

F.IF.4

Here are graphs of functions f and g. For each, determine the value of k so that g(x)=f(kx).

F.BF.3

F.IF.4

Here are graphs of functions f and g. For each, determine the value of k so that g(x)=f(kx).

F.BF.3

F.IF.4

A bacteria population, in thousands, is modeled by the function f(d)=30*2^{d} where d is the number of days since it was first measured. The function g gives the bacteria population, in thousands, w weeks after it was first measured.
Express g in terms of f. Explain your reasoning.

F.BF.3

F.IF.4

Here is the graph of a function f.
Reflecting f across the x-axis and then across the vertical line y=1 takes the graph of f back to itself. Tyler says that this means f is an odd function.
Do you agree with Tyler? Explain your reasoning.

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F.IF.4

The population of sloths in an area has been increasing by 5% each year since 2000. Let P model the population P(t), in thousands, of sloths years after the year 2000. The graph of p(t)=1.05^{t} has a general shape that fits the data.
Find a scale factor k so that P(t)=kp(t) fits the data.

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This lesson is from Illustrative Mathematics. Algebra 2, Unit 5, Lesson 9. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/5/9/index.html ; accessed 27/July/2021.

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Illustrative Math - Algebra 2 - Unit 5 - Lesson 9

Illustrative Math - Algebra 2 - Unit 5 - Lesson 9

Here are graphs of functions f and g. For each, determine the value of k so that g(x)=f(kx).

Here are graphs of functions f and g. For each, determine the value of k so that g(x)=f(kx).

Here are graphs of functions f and g. For each, determine the value of k so that g(x)=f(kx).

Here are graphs of functions f and g. For each, determine the value of k so that g(x)=f(kx).

A bacteria population, in thousands, is modeled by the function f(d)=30*2^{d} where d is the number of days since it was first measured. The function g gives the bacteria population, in thousands, w weeks after it was first measured. Express g in terms of f. Explain your reasoning.

Here is the graph of a function f.Reflecting f across the x-axis and then across the vertical line y=1 takes the graph of f back to itself. Tyler says that this means f is an odd function. Do you agree with Tyler? Explain your reasoning.

The population of sloths in an area has been increasing by 5% each year since 2000. Let P model the population P(t), in thousands, of sloths years after the year 2000. The graph of p(t)=1.05^{t} has a general shape that fits the data. Find a scale factor k so that P(t)=kp(t) fits the data.

Here are graphs of functions f and g. For each, determine the value of k so that g(x)=f(kx).

Here are graphs of functions f and g. For each, determine the value of k so that g(x)=f(kx).

Here are graphs of functions f and g. For each, determine the value of k so that g(x)=f(kx).

Here are graphs of functions f and g. For each, determine the value of k so that g(x)=f(kx).

A bacteria population, in thousands, is modeled by the function f(d)=30*2^{d} where d is the number of days since it was first measured. The function g gives the bacteria population, in thousands, w weeks after it was first measured. Express g in terms of f. Explain your reasoning.

Here is the graph of a function f.Reflecting f across the x-axis and then across the vertical line y=1 takes the graph of f back to itself. Tyler says that this means f is an odd function. Do you agree with Tyler? Explain your reasoning.

The population of sloths in an area has been increasing by 5% each year since 2000. Let P model the population P(t), in thousands, of sloths years after the year 2000. The graph of p(t)=1.05^{t} has a general shape that fits the data. Find a scale factor k so that P(t)=kp(t) fits the data.

A bacteria population, in thousands, is modeled by the function f(d)=30*2^{d} where d is the number of days since it was first measured. The function g gives the bacteria population, in thousands, w weeks after it was first measured.
Express g in terms of f. Explain your reasoning.

Here is the graph of a function f.
Reflecting f across the x-axis and then across the vertical line y=1 takes the graph of f back to itself. Tyler says that this means f is an odd function.
Do you agree with Tyler? Explain your reasoning.

The population of sloths in an area has been increasing by 5% each year since 2000. Let P model the population P(t), in thousands, of sloths years after the year 2000. The graph of p(t)=1.05^{t} has a general shape that fits the data.
Find a scale factor k so that P(t)=kp(t) fits the data.

A bacteria population, in thousands, is modeled by the function f(d)=30*2^{d} where d is the number of days since it was first measured. The function g gives the bacteria population, in thousands, w weeks after it was first measured.
Express g in terms of f. Explain your reasoning.

Here is the graph of a function f.
Reflecting f across the x-axis and then across the vertical line y=1 takes the graph of f back to itself. Tyler says that this means f is an odd function.
Do you agree with Tyler? Explain your reasoning.

The population of sloths in an area has been increasing by 5% each year since 2000. Let P model the population P(t), in thousands, of sloths years after the year 2000. The graph of p(t)=1.05^{t} has a general shape that fits the data.
Find a scale factor k so that P(t)=kp(t) fits the data.