Describe the end behavior of the function $$y=-x^2-2x+3$$ .

As @@x ightarrow - ext{infinity} $$, $$ y ightarrow - ext{infinity} $$ and as $$ x ightarrow + ext{infinity} $$, $$ y ightarrow - ext{infinity}@@.

Solve the inequality $$8|x+7|-1 \\ge 7$$ .

$$x \\le -8 \\text{ and } x \\ge -6$$ .

What is the standard form of a quadratic equation?

The standard form is $$y = ax^2 + bx + c$$ where $$a, b, c$$ are constants and @@a eq 0@@.

How do you find the x-intercepts of a quadratic function?

Set $$y = 0$$ and solve the equation $$ax^2 + bx + c = 0$$ using factoring, completing the square, or the quadratic formula.

What is the quadratic formula?

The quadratic formula is $$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$$ .

What does the discriminant of a quadratic equation tell you?

The discriminant $$D = b^2 - 4ac$$ indicates the nature of the roots: if $$D > 0$$ , two real roots; if $$D = 0$$ , one real root; if $$D

What is an absolute value inequality?

An absolute value inequality is an inequality that contains an absolute value expression, such as $$|x| a$$ .

How do you solve an absolute value inequality?

Split the inequality into two cases: one for the positive scenario and one for the negative scenario, then solve each case.

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

The slope indicates the rate of change of the function; it represents how much $$y$$ changes for a unit change in $$x$$ .

What does it mean for a function to be increasing or decreasing?

A function is increasing if its output values rise as the input values increase, and decreasing if its output values fall as the input values increase.

What is the meaning of a function's domain?

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Algebra 1 - 1st Semester Final Exam Flashcards

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16 questions

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1.

FLASHCARD QUESTION

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2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

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4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

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The temperature at 8 A.M. is greater than the temperature at 9 A.M.

6.

FLASHCARD QUESTION

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The vertex is at the point ( -1, 4 ).

7.

FLASHCARD QUESTION

Front

What does it mean if a function is quadratic?

Back

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