What is the range of the function $$f(x)=-|x|$$ ?

The range is all values less than or equal to 0.

How do you find the domain of a function?

Identify all possible input values (x) that do not cause division by zero or take square roots of negative numbers.

What is the formula for the sine of an angle in a right triangle?

$$\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$$ .

What is the significance of the vertex in a quadratic function?

The vertex represents the maximum or minimum point of the parabola.

How do you determine if a function is increasing or decreasing?

Analyze the slope of the function; if the slope is positive, it is increasing; if negative, it is decreasing.

What is the relationship between the angles and sides in a triangle?

The larger the angle, the longer the opposite side.

What is the formula for the distance between two points in a coordinate plane?

$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ .

What is the general form of a quadratic function?

$$f(x) = ax^2 + bx + c$$ where a, b, and c are constants.

Mid Term -Pre-calculus - 2024 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

120

2.

FLASHCARD QUESTION

Front

Back

Open downward

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

If Juan and Romella are 10 miles apart and the angles to a ship are 35° and 45°, how far is the ship from Juan?

Back

7.2 miles

6.

FLASHCARD QUESTION

Front

Back

(5, 120)

7.

FLASHCARD QUESTION

Front

Back

A V-shaped graph opening upwards.

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