24-25 Algebra Review for 1st Semester Exam

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What are the characteristics of an exponential function?

Back

Exponential functions have the form f(x) = a * b^x, where 'a' is a constant, 'b' is the base (b > 0), and the graph increases or decreases rapidly.

Front

What does it mean for a function to be continuous?

Back

A continuous function is one that can be graphed without lifting the pencil from the paper; there are no breaks, jumps, or holes in the graph.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the equation of a line in point-slope form?

Back

The point-slope form of a line is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

What does the correlation coefficient indicate?

Back

The correlation coefficient measures the strength and direction of a linear relationship between two variables, ranging from -1 (perfect negative) to +1 (perfect positive).

Front

What is a strong positive correlation?

Back

A strong positive correlation indicates that as one variable increases, the other variable also tends to increase, and the points on a scatter plot are closely clustered around a line.

Front

What is the domain of a function?

Back

The domain of a function is the complete set of possible values of the independent variable (x) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the complete set of possible values of the dependent variable (y) that result from using the function.