Math 3 Vocabulary Flashcard #8

Front

Find g(-2).

Back

g(-2) = 2

Front

Which of the following is the graph of the function 3sin(2x) + 4?

Back

Graph of 3sin(2x) + 4 is a sinusoidal function shifted up by 4 units.

Front

Which of the following is equivalent to 9^x = 6561?

Back

log_9(6561) = x

Front

Which graph features a polynomial with three double roots?

Back

A polynomial with three double roots touches the x-axis at three points.

Front

Which of the following is the equation of a circle with a diameter of 20 units?

Back

(x + 6)^2 + y^2 = 100

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the formula for the area of a circle?

Back

Area = πr^2, where r is the radius.

Front

What does the term 'double root' mean in polynomial functions?

Back

A double root occurs when a root of a polynomial has a multiplicity of 2, meaning the graph touches the x-axis at that point.

Front

What is the relationship between logarithms and exponents?

Back

If b^y = x, then log_b(x) = y.

Front

What is the standard form of a circle's equation?

Back

(x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.