Alg1 M3 T2 L2 2.2 Interpreting the B-value

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine the range of a function from its graph?

Back

To determine the range from a graph, identify the lowest and highest points on the y-axis that the graph reaches.

Front

What does it mean if a function has a range of y > -8?

Back

It means that the output values of the function are greater than -8, and -8 is not included in the range.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

How do you find the domain of a function from its graph?

Back

To find the domain from a graph, look for the x-values that the graph covers.

Front

What does it mean if a function has a domain of -3 < x < 9?

Back

It means that the input values of the function can be any number greater than -3 and less than 9.

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 a positive real number, and x is the exponent.

Front

What is the significance of the b-value in an exponential function?

Back

The b-value determines the growth or decay rate of the function; if b > 1, the function grows, and if 0 < b < 1, the function decays.

Front

What does it mean if the range of a function is all real numbers greater than or equal to 4?

Back

It means that the function can output any value starting from 4 and going upwards, including 4.

Front

How can you express the range of a function using interval notation?

Back

The range can be expressed in interval notation, such as [4, ∞) for all real numbers greater than or equal to 4.