Function Notation and Evaluating Functions

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation in place of the variable.

Front

Evaluate f(x) = x² for f(-8).

Back

64

Front

Evaluate h(x) = -x² + 3x for h(-3).

Back

h(-3) = -18

Front

Evaluate f(x) = -2t² + 1 for f(-3).

Back

-17

Front

Evaluate f(2) for f(x) = 2x.

Back

4

Front

Evaluate f(x) = -2t² + 1 for f(2).

Back

-7

Front

What does it mean for a function to be quadratic?

Back

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

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).