Algebra 2 Chapter 1 Unit Test

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you find the vertex of a quadratic function?

Back

The vertex of a quadratic function in standard form f(x) = ax^2 + bx + c can be found using the formula x = -b/(2a).

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.

Front

What does it mean for a function to be equivalent?

Back

Two functions are equivalent if they produce the same output for every input in their domain.

Front

How do you represent a length in terms of width for a fenced area?

Back

If w is the width and the total perimeter is P, then the length l can be expressed as l = (P - 2w)/2.

Front

What is an exponential function?

Back

An exponential function is a 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 is the significance of the y-intercept in a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, representing the output when the input is zero.

Front

How do you determine the number of solutions for a quadratic equation?

Back

The number of solutions can be determined using the discriminant (b^2 - 4ac). If it's positive, there are two solutions; if zero, one solution; if negative, no real solutions.

Front

What is a table of values in relation to functions?

Back

A table of values lists pairs of input and output values for a function, helping to visualize the relationship between them.