Flashcard on the standard AII.1 -AII.12 - 4O - Dec 18 2024

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 based on its domain.

Front

What does R: [0, +∞) represent?

Back

It represents the set of all real numbers starting from 0 and extending to positive infinity, including 0.

Front

How do you simplify the expression √-28?

Back

√-28 can be simplified to 2i√7, where 'i' is the imaginary unit.

Front

What is the y-intercept of the function y = 3 · 2^x?

Back

The y-intercept is the point where the graph crosses the y-axis, which occurs at (0, 3).

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form y = a · b^x, where 'a' is a constant, 'b' is the base, and 'x' is the exponent.

Front

What does the expression 8x⁴y² represent?

Back

It represents a term in algebra where 8 is the coefficient, x is raised to the power of 4, and y is raised to the power of 2.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

How do you find the value of an expression like 8x⁸y²?

Back

To find the value, substitute the values of x and y into the expression and perform the calculations.

Front

What does the notation y=36·(3)^x indicate?

Back

It indicates an exponential growth function where the base is 3 and the initial value is 36.

Front

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

Back

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