Power Functions Pop Flashcard

Front

What is a power function?

Back

A power function is a function of the form f(x) = kx^n, where k is a constant and n is a real number.

Front

What is the general form of a power function?

Back

The general form of a power function is f(x) = kx^n, where k is a constant and n is the exponent.

Front

What is the range of a power function with an odd degree?

Back

The range of a power function with an odd degree is (-infinity, +infinity).

Front

What is the end behavior of f(x) = kx^n as x approaches positive infinity for even n?

Back

As x approaches positive infinity, f(x) approaches positive infinity if k > 0, and negative infinity if k < 0.

Front

What is the end behavior of f(x) = kx^n as x approaches negative infinity for odd n?

Back

As x approaches negative infinity, f(x) approaches negative infinity if k > 0, and positive infinity if k < 0.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Tags

CCSS.HSF-IF.C.7B

Front

What is the end behavior of f(x) = 2x^-5 as x approaches positive infinity?

Back

As x approaches positive infinity, f(x) approaches zero.

Front

What is the range of f(x) = -3x^-7?

Back

The range of f(x) = -3x^-7 is (-infinity, 0) U (0, +infinity).

Front

How does the sign of k affect the graph of a power function?

Back

The sign of k determines whether the graph of the power function opens upwards (k > 0) or downwards (k < 0).

Tags

CCSS.HSF-IF.C.7B

Front

What is the significance of the exponent n in a power function?

Back

The exponent n determines the degree of the function, which affects its end behavior and the shape of its graph.