HW 1.6

Front

What is an exponential function?

Back

A 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 a parent function?

Back

The simplest form of a function in a family of functions, which serves as a reference for transformations.

Front

What is the graph of y = x^2 called?

Back

It is called a parabola.

Front

What is the square root function?

Back

A function of the form f(x) = √x, which returns the non-negative square root of x.

Front

What is a linear function?

Back

A function of the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find f(4) for the function f(x) = x - 1?

Back

f(4) = 4 - 1 = 3.

Front

What is the absolute value function?

Back

A function that returns the non-negative value of a number, defined as f(x) = |x|.

Front

What is a logarithmic function?

Back

A function of the form f(x) = log_b(x), which is the inverse of the exponential function.

Front

What is the cube root function?

Back

A function of the form f(x) = ∛x, which returns the cube root of x.

Front

What is the difference between a quadratic function and a linear function?

Back

A quadratic function has a degree of 2 (e.g., f(x) = x^2), while a linear function has a degree of 1 (e.g., f(x) = mx + b).