What is the result of $$f(x) - g(x)$$ if $$f(x) = x^2 + 9$$ and $$g(x) = x - 9$$ ?

The result is $$x^2 - x + 18$$ .

If $$f(x)$$ and $$g(x)$$ are both linear functions, what can be said about their sum, difference, and product?

The sum and difference of $$f(x)$$ and $$g(x)$$ will be linear, and their product will be quadratic.

What is the product $$d(x) = b(x) \, c(x)$$ if $$b(x) = 3x + 2$$ and $$c(x) = 2x - 3$$ ?

The product is $$d(x) = 6x^2 - 5x - 6$$ .

Find $$(g + f)(x)$$ if $$g(x) = 4x - 2$$ and $$f(x) = x^2 - 5x$$ .

The result is $$x^2 - x - 2$$ .

What is the difference between a linear function and a quadratic function?

A linear function has a degree of 1 and graphs as a straight line, while a quadratic function has a degree of 2 and graphs as a parabola.

What is the sum of two linear functions?

The sum of two linear functions is also a linear function.

What is the product of two linear functions?

The product of two linear functions is a quadratic function.

How do you find the value of a function at a specific point?

To find the value of a function at a specific point, substitute the value of the variable into the function's equation.

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 the output value changes for a unit change in the input value.

What does it mean for functions to be 'not constant'?

Functions that are 'not constant' have varying outputs for different inputs, meaning they change as the input changes.

What is the process for combining functions?

Combining functions can involve addition, subtraction, multiplication, or composition, where you apply one function to the result of another.

What is the standard form of a quadratic function?

The standard form of a quadratic function is $$f(x) = ax^2 + bx + c$$ , where $$a$$ , $$b$$ , and $$c$$ are constants and @@a eq 0@@.

Chapter 4 Mid-Chapter Test Version A Flashcards

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15 questions

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1.

FLASHCARD QUESTION

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2.

FLASHCARD QUESTION

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What is the price of one tennis racket after a 25% discount if the original price is $48?

Back

The price after discount is $36.

3.

FLASHCARD QUESTION

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4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the definition of a linear function?

Back

7.

FLASHCARD QUESTION

Front

What is the formula for calculating the discount price?

Back

The discount price can be calculated using the formula: Discount Price = Original Price - (Discount Rate × Original Price).

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