Linear, Exponential, Quadratic: Which is it?

Front

What are the three main types of functions covered in this quiz?

Back

Linear, Exponential, Quadratic

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax^2 + bx + c.

Front

How can you identify a linear function from its graph?

Back

A linear function will produce a straight line when graphed.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form y = a * b^x, where b is a positive constant.

Front

What is the general form of a linear function?

Back

The general form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Front

What distinguishes a quadratic function from a linear function?

Back

A quadratic function has a variable raised to the second power (x^2), while a linear function has a variable raised to the first power (x).

Front

What does the graph of an exponential function look like?

Back

The graph of an exponential function increases or decreases rapidly and has a characteristic curve.

Front

What is the significance of the coefficients in a quadratic function?

Back

The coefficients determine the shape and position of the parabola represented by the quadratic function.

Front

How can you determine if a function is exponential from its equation?

Back

If the variable is in the exponent, such as in y = a * b^x, it is an exponential function.

Front

What is the vertex of a quadratic function?

Back

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