Algebra 2 Practice for Midterm

Front

Is the polynomial 7x^3 – 8x^2 + 9 in standard form?

Back

Yes, the polynomial is in standard form.

Front

What is the average rate of change of a function over the interval [1, 5]?

Back

The average rate of change is -0.75.

Front

What is the range of the function if the output values are between -3 and 4?

Back

The range is [-3, 4].

Front

Determine the interval in which the function is INCREASING: (-3, ∞) or (-4, ∞)?

Back

The function is increasing in the interval (-3, ∞).

Front

If the discriminant of a quadratic equation is equal to 0, how many solutions does it have?

Back

There is 1 solution.

Front

What is a polynomial in standard form?

Back

A polynomial is in standard form when its terms are arranged in descending order of their degrees.

Front

Define the term 'discriminant' in the context of quadratic equations.

Back

The discriminant is the part of the quadratic formula under the square root, given by b^2 - 4ac, which determines the nature of the roots.

Front

What does it mean for a function to be increasing on an interval?

Back

A function is increasing on an interval if, for any two points in that interval, the function's value at the second point is greater than at the first.

Front

What is the formula for calculating the average rate of change of a function f(x) over the interval [a, b]?

Back

The average rate of change is given by (f(b) - f(a)) / (b - a).

Front

What is the significance of the range in a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.