Function Equations and Real World Graphs

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function f for a given input x.

Front

How do you evaluate a function at a specific point?

Back

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

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What is the value of f(-1) if f(x) = 2x² + 5x - 17?

Back

f(-1) = -20.

Front

How do you find f(3) if f(x) = 4x + 7?

Back

Substitute 3 into the function: f(3) = 4(3) + 7 = 19.

Front

What is the output of j(x) = 2x + 3 when x = -1?

Back

j(-1) = 1.

Front

What is the value of f(2) if f(x) = 5x?

Back

f(2) = 10.

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the graph of a quadratic function look like?

Back

The graph of a quadratic function is a parabola that opens upwards or downwards depending on the sign of 'a'.