What is the vertex form of a quadratic function?

The vertex form is $$f(x) = a(x - h)^2 + k$$ , where (h, k) is the vertex.

What is the difference between a rational and an irrational number?

A rational number can be expressed as a fraction, while an irrational number cannot.

What is the definition of a logarithm?

A logarithm is the inverse operation to exponentiation, answering the question: to what exponent must a base be raised to produce a given number?

What is the relationship between exponential and logarithmic functions?

Exponential functions can be expressed as $$y = b^x$$ , while logarithmic functions are expressed as $$x = \text{log}_b(y)$$ .

What is the discriminant of a quadratic equation?

The discriminant is given by $$D = b^2 - 4ac$$ and determines the nature of the roots.

What does it mean for a function to be continuous?

A function is continuous if there are no breaks, jumps, or holes in its graph.

What is the slope-intercept form of a linear equation?

The slope-intercept form is $$y = mx + b$$ , where m is the slope and b is the y-intercept.

What is the Pythagorean theorem?

The Pythagorean theorem states that in a right triangle, $$a^2 + b^2 = c^2$$ , where c is the hypotenuse.

Math For College Algebra Final Exam Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

Back

The solutions are x = -4 and x = 9.

2.

FLASHCARD QUESTION

Front

Back

The result is 2.

3.

FLASHCARD QUESTION

Front

Back

The graph of f(x) is shifted right 9 units and up 4 units from g(x).

4.

FLASHCARD QUESTION

Front

Back

The domain is all real numbers x such that x >= 9.

5.

FLASHCARD QUESTION

Front

Back

The solution is x = 36.

6.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

7.

FLASHCARD QUESTION

Front

Define a function.

Back

A function is a relation that assigns exactly one output for each input.

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