Unit 1 review parent, absolute value & piecewise functions

Front

What is a parent function?

Back

A parent function is the simplest form of a function type, which serves as a foundation for more complex functions.

Front

Describe the transformation of p(x) = f(x + 3).

Back

The graph of the function f(x) is shifted left by 3 units.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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

What does the absolute value function look like?

Back

The absolute value function, f(x) = |x|, produces a V-shaped graph that opens upwards.

Front

What is a piecewise function?

Back

A piecewise function is a function defined by multiple sub-functions, each applying to a specific interval of the domain.

Front

Evaluate f(9) for the piecewise function: f(x) = { 3 if x = 9, undefined otherwise }

Back

f(9) = 3.

Front

Identify the parent function of f(x) = 2^x.

Back

The parent function is Exponential.

Front

What is the transformation of f(x) = f(x) - 2?

Back

The graph of the function is shifted down by 2 units.

Front

What is the transformation of f(x) = 3f(x)?

Back

The graph of the function is vertically stretched by a factor of 3.