Equations as Functions Pop Flashcard

Front

What are the roots/zeros of the equation x² - 9?

Back

The roots/zeros are -3 and 3.

Front

If f(x) = x² - 5x, what is f(-2)?

Back

f(-2) = 9.

Front

Evaluate y = x² - 5x when x = 4.

Back

The output is -4.

Front

How do you evaluate y = 4x - 1 when y = 19?

Back

The value of x is 5.

Front

What are the x-intercepts of the function y = x² - 4?

Back

The x-intercepts are (0, 0) and (4, 0).

Front

Define a function in mathematics.

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0.

Front

How do you find the vertex of a parabola given by y = ax² + bx + c?

Back

The vertex can be found using the formula x = -b/(2a).

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots.

Front

What does it mean for a function to be linear?

Back

A linear function has a constant rate of change and can be represented by a straight line.