#4-3 Comparing Two Functions Represented in Different Ways

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Tags

CCSS.8.F.A.1

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a y-intercept?

Back

The y-intercept is the point where a function crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent.

Front

How can you compare two functions represented in different ways?

Back

You can compare their outputs for the same inputs, analyze their graphs, or evaluate their equations to determine similarities and differences.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What is the difference between a linear function and an exponential function?

Back

A linear function increases by a constant amount, while an exponential function increases by a percentage rate, leading to faster growth over time.

Front

How do you find the starting value of a function?

Back

The starting value of a function is typically found by evaluating the function at x = 0, which gives the y-intercept.

Tags

CCSS.HSF.LE.B.5

Front

What is the significance of comparing starting values in real-world scenarios?

Back

Comparing starting values helps determine which option is more favorable or advantageous, such as in salary comparisons or initial measurements.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Front

What is a comparative question?

Back

A comparative question asks you to evaluate two or more items to determine which one has a certain quality or characteristic.

Tags

CCSS.RI.2.1

CCSS.RI.3.1

CCSS.RL.1.1

CCSS.RL.2.1

CCSS.RL.3.1