Semester A Exam 2024

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as the input (x) approaches positive or negative infinity. For example, the horizontal asymptote of the function y = -1 is the line y = -1.

Front

How do you determine the graph of a linear equation?

Back

To determine the graph of a linear equation like 4x - 2y = -8, you can rearrange it into slope-intercept form (y = mx + b) and identify the slope (m) and y-intercept (b). The graph will be a straight line.

Front

What does the solution set of an inequality represent?

Back

Front

How do you evaluate a polynomial function at a specific value?

Back

Front

What is direct variation?

Back

Front

How do you find the constant of variation in direct variation problems?

Back

Front

What is the formula for direct variation?

Back

Front

How do you solve for a variable in a linear equation?

Back

To solve for a variable in a linear equation, isolate the variable on one side of the equation using inverse operations. For example, in the equation 4x - 2y = -8, you can solve for y by rearranging it to y = 2x + 4.

Front

What is the significance of the slope in a linear equation?

Back

The slope in a linear equation represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive slope means the line rises, negative slope means it falls).

Front

What does it mean for a function to be evaluated at a point?

Back

Evaluating a function at a point means substituting the input value into the function to find the corresponding output value. For example, evaluating f(x) at x = 2 means calculating f(2).