What is the vertex of a quadratic function?

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola. It can be found using the formula $$x = -\frac{b}{2a}$$ .

What is the difference between a function and a relation?

A function is a specific type of relation where each input (or $$x$$ value) is associated with exactly one output (or $$y$$ value). In contrast, a relation can have multiple outputs for a single input.

What is the significance of the y-intercept in a function?

The y-intercept is the point where the graph of a function crosses the y-axis. It represents the value of $$y$$ when $$x = 0$$ .

How do you write inequalities based on word problems?

To write inequalities from word problems, identify the variables, constraints, and relationships described in the problem. Then, express these relationships using inequality symbols.

What is the difference between growth and decay in exponential functions?

In exponential functions, growth occurs when the base $$b > 1$$ , leading to an increase in value as $$x$$ increases. Decay occurs when the base $$0

What is a system of inequalities?

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the shaded areas of the inequalities overlap on a graph.

How do you determine if a function is exponential from a graph?

A function is exponential if its graph shows a rapid increase or decrease and passes through the y-axis at a non-zero value. The graph will have a characteristic curve that is not linear.

What is the importance of constraints in real-world problems?

Constraints in real-world problems define the limits within which solutions must be found. They help in formulating inequalities that represent the conditions of the problem.

2/2 - Part B - Algebra 1: Connection & Concepts Pre-Assessments Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

2.

FLASHCARD QUESTION

Front

How do you identify a linear function from a table of values?

Back

Tags

CCSS.HSF-LE.A.1B

3.

FLASHCARD QUESTION

Front

What is the general form of a linear equation?

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

4.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

Tags

CCSS.8.EE.B.5

5.

FLASHCARD QUESTION

Front

What is a linear inequality?

Back

Tags

CCSS.7.EE.B.4B

6.

FLASHCARD QUESTION

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a dashed or solid line (depending on whether the inequality is strict or inclusive). Then, shade the region that satisfies the inequality.

Tags

CCSS.HSA.REI.D.12

7.

FLASHCARD QUESTION

Front

What is a quadratic function?

Back

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