Algebra 1 EOC Review

Front

What is the DOMAIN of a graph?

Back

The domain of a graph is the set of all possible x-values (inputs) for which the function is defined.

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 the base, and x is the exponent.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as x increases, the value of f(x) decreases.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when the base of the exponential function is greater than 1, while exponential decay occurs when the base is between 0 and 1.

Front

How do you find the percentage of decay in a function?

Back

The percentage of decay can be found by subtracting the decay factor from 1 and multiplying by 100. For example, if f(x) = a(1 - r)^x, then the percentage of decay is r * 100.

Front

What is the formula for compound interest?

Back

The formula for compound interest is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the number of years.

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.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).