Algebra 1 Review (1st Semester)

Front

What is the end behavior of a polynomial function as x approaches infinity?

Back

As x → ∞, y → ∞ and as x → -∞, y → ∞ for even degree polynomials with positive leading coefficients.

Front

What is the end behavior of a polynomial function as x approaches negative infinity?

Back

As x → ∞, y → -∞ and as x → -∞, y → -∞ for odd degree polynomials with positive leading coefficients.

Front

How do you find the value of x when f(x) = 8 for the function f(x) = 2x - 10?

Back

Set 2x - 10 = 8, solve for x: 2x = 18, x = 9.

Front

What is the revenue function for ticket sales if each ticket costs $6 and the number of attendees is x?

Back

The revenue function is f(x) = 6x.

Front

What is the range of the revenue function f(x) = 6x for 0 < x < 2000?

Back

The range is 0 < f(x) < 12,000.

Front

What is the end behavior of the absolute value function as x approaches infinity?

Back

As x → ∞, y → ∞ and as x → -∞, y → ∞.

Front

What is the end behavior of a function that approaches negative infinity as x approaches positive infinity?

Back

As x → ∞, y → -∞ and as x → -∞, y → -∞.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if for any two points x1 and x2 where x1 < x2, f(x1) < f(x2).

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if for any two points x1 and x2 where x1 < x2, f(x1) > f(x2).

Front

What is a linear function?

Back

A linear function is a function that can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.