Enh - First Semester Review (all)

Front

What is the definition of average rate of change?

Back

The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value over that interval.

Front

How do you find the average rate of change between two points on a graph?

Back

To find the average rate of change between two points, use the formula: (f(b) - f(a)) / (b - a), where a and b are the x-values of the points.

Front

What does the equation d(m) = 3m + 28 represent in Mia's scenario?

Back

This equation represents the total amount of money Mia will have after babysitting for m days, where she earns $3 per day and starts with $28.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function and simplify.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax^2 + bx + c = 0.

Front

What are the solutions to a quadratic equation called?

Back

The solutions to a quadratic equation are called the roots or zeros of the equation.

Front

How do you solve the equation -5x + 17 = 3x - 7?

Back

To solve for x, first combine like terms: 17 + 7 = 3x + 5x, which simplifies to 24 = 8x. Then, divide both sides by 8 to find x = 3.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).