Function Work 1

Front

What is the value of g(-2) if g(x) = 3(1 - x)?

Back

9

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

Is the relation {(1,2), (2,3), (1,4)} a function?

Back

It IS NOT a function because the input '1' has two different outputs.

Front

Evaluate f(x) = -2x² + 1 for f(-3).

Back

-17

Front

What is the definition of a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

Is the graph of y = x² a function?

Back

Yes, it is a function because each x-value has one corresponding y-value.

Front

What does it mean for a graph to be a function?

Back

A graph represents a function if it passes the vertical line test, meaning no vertical line intersects the graph more than once.

Front

Evaluate g(x) = 3(1 - x) for g(0).

Back

3

Front

What is the range of the function f(x) = -2x² + 1?

Back

The range is all real numbers less than or equal to 1.

Front

Is the relation {(1,2), (2,3), (3,4)} a function?

Back

It IS a function because each input has exactly one output.