DCA #2 Review-Tmcelroy

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

Identify the inequality: y > x + 1

Back

This inequality states that the value of y is greater than the value of x plus 1.

Front

How do you represent a function that models a sequence?

Back

A function that models a sequence can be expressed in the form y = a(b)^x, where a is the initial value and b is the common ratio.

Front

What is the function for the sequence represented by y = 3(4)^x?

Back

This function indicates that the initial value is 3 and the common ratio is 4.

Front

What does the graph of an inequality represent?

Back

The graph of an inequality shows all the possible solutions that satisfy the inequality.

Front

When graphing inequalities, when do you use a solid line?

Back

A solid line is used when the inequality includes ≤ or ≥, indicating that the boundary line is included in the solution.

Front

What does the inequality y < -2 represent graphically?

Back

This inequality represents all the points below the horizontal line y = -2, not including the line itself.

Front

What is the difference between < and ≤ in inequalities?

Back

The symbol < indicates that the value is strictly less than, while ≤ indicates that the value can be less than or equal to.

Front

How do you determine the correct graph for an inequality?

Back

To determine the correct graph, identify the boundary line and whether it is solid or dashed, then shade the appropriate region based on the inequality.

Front

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

Back

The slope indicates the steepness of the line and the direction of the inequality (positive slope means y increases as x increases, negative slope means y decreases as x increases).