Parent Functions :)

Front

What is the general form of an exponential function?

Back

An exponential function can be expressed in the form f(x) = a * b^x, where a is a constant, b is the base (b > 0, b ≠ 1), and x is the exponent.

Front

What is the shape of the graph of a cubic function?

Back

The graph of a cubic function is characterized by an S-shape, which can have one or two turning points depending on the coefficients.

Front

What is the definition of a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, and it has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the domain of the square root function f(x) = √x?

Back

The domain of the square root function f(x) = √x is x ≥ 0, meaning it only includes non-negative real numbers.

Front

What is the range of the exponential function f(x) = 2^x?

Back

The range of the exponential function f(x) = 2^x is (0, ∞), meaning it takes on all positive real values.

Front

How does the graph of f(x) = x^3 differ from f(x) = x^2?

Back

The graph of f(x) = x^3 is symmetric about the origin and has a point of inflection at (0,0), while f(x) = x^2 is a parabola that opens upwards and has a minimum point at (0,0).

Front

What is the y-intercept of the linear function f(x) = 3x + 2?

Back

The y-intercept of the linear function f(x) = 3x + 2 is the point (0, 2), where the graph crosses the y-axis.

Front

What is the behavior of the exponential function as x approaches negative infinity?

Back

As x approaches negative infinity, the exponential function f(x) = a * b^x approaches 0.

Front

What is the vertex of the quadratic function f(x) = x^2 - 4x + 4?

Back

The vertex of the quadratic function f(x) = x^2 - 4x + 4 is the point (2, 0).

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).