Equations as Functions Pop Flashcard

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 it mean for a function to have a zero?

Back

A zero of a function is a value of x for which the function f(x) = 0.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of x into the function and simplify.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on the direction it opens.

Front

How do you find the output of a quadratic function for a given input?

Back

Substitute the input value into the quadratic function and simplify to find the output.

Front

What is the significance of the coefficient 'a' in a quadratic function?

Back

The coefficient 'a' determines the direction of the parabola: if 'a' is positive, it opens upwards; if negative, it opens downwards.

Front

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

Back

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

Front

How do you find the y-intercept of a linear function?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the output of the function f(x) = 3x - 4 when x = 2?

Back

f(2) = 3(2) - 4 = 6 - 4 = 2.