Algebra 2 Final Review

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

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 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

How can you determine if a relation is a function?

Back

A relation is a function if each input (x-value) has exactly one output (y-value). This can be checked using the vertical line test on its graph.

Front

What does it mean for a function to be invertible?

Back

A function is invertible if there exists another function that reverses the effect of the original function, meaning that for every output, there is a unique input.

Front

Evaluate m(-6) if m(x) = 2x + 1.

Back

m(-6) = 2(-6) + 1 = -12 + 1 = -11.

Front

Solve the equation |x - 3| + 7 = 15.

Back

x = 5 or x = 11.

Front

What is the formula for a linear function that decreases at a constant rate?

Back

The formula is t = -kw + b, where k is the rate of decrease, w is the time in weeks, and b is the initial amount.

Front

If a water tank has 275 gallons and decreases at 15 gallons per week, what is the function for the amount of water left?

Back

t = -15w + 275.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.