5th Six Weeks Review

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What are the solutions to the equation f(x) = 0 for a quadratic function?

Back

The solutions to the equation f(x) = 0 are the x-values where the graph of the function intersects the x-axis, also known as the roots or zeros of the function.

Front

How do you find the vertex of a quadratic function?

Back

The vertex of a quadratic function in the form f(x) = ax^2 + bx + c can be found using the formula x = -b/(2a). The y-coordinate can be found by substituting this x-value back into the function.

Front

What is the range of a quadratic function that opens upwards?

Back

The range of a quadratic function that opens upwards is all real numbers greater than or equal to the y-coordinate of the vertex.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What is the y-intercept of a function?

Back

The y-intercept of a function is the point where the graph of the function intersects the y-axis, which occurs when x = 0.

Front

How do you determine the growth rate of an exponential function?

Back

The growth rate of an exponential function is determined by the base of the exponent. If the base is greater than 1, the function grows; if it is between 0 and 1, the function decays.

Front

What does it mean for a function to increase at a rate of 60%?

Back

If a function increases at a rate of 60%, it means that for every unit increase in x, the function's output increases by 60% of its current value.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

How do you solve a quadratic equation using the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a), used to find the roots of the quadratic equation ax^2 + bx + c = 0.