Unit 6 Review

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form y = ab^x, where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent. It shows rapid growth or decay.

Front

Identify the general form of a quadratic function.

Back

The general form of a quadratic function is y = ax^2 + bx + c, where 'a', 'b', and 'c' are constants and 'a' is not equal to zero.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line. It 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

How can you determine if a table of values represents a linear function?

Back

If the differences between consecutive y-values are constant for equal intervals of x, the function is linear.

Tags

CCSS.HSF-LE.A.1B

Front

What is the definition of a logarithmic function?

Back

A logarithmic function is the inverse of an exponential function, expressed as y = log_b(x), where 'b' is the base and 'x' is the argument.

Front

What is the significance of the base in an exponential function?

Back

The base determines the rate of growth or decay. If the base is greater than 1, the function grows; if it is between 0 and 1, the function decays.

Tags

CCSS.HSF-IF.C.8B

Front

What type of function is represented by the equation y = 16500(0.80)^x?

Back

This equation represents an exponential function, indicating a decay process.

Tags

CCSS.HSF-IF.C.8B

Front

How can you identify a quadratic function from a graph?

Back

A quadratic function will have a parabolic shape, opening either upwards or downwards.

Front

What does it mean for a function to be exponential in terms of growth?

Back

Exponential growth means that the function increases at a rate proportional to its current value, leading to rapid increases over time.

Tags

CCSS.HSF-IF.C.8B

Front

What is the domain of the function y = 16500(0.80)^x?

Back

The domain is all real numbers, as x can take any value.