A2H Midterm Review #1

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. If any input has more than one output, it is not a function.

Front

How do you determine if a table represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value). If any x-value is repeated with different y-values, it is not a function.

Front

What is the sum of two functions f(x) and g(x)?

Back

The sum of two functions f(x) and g(x) is defined as (f+g)(x) = f(x) + g(x).

Front

Given f(x)=3x^2+4 and g(x)=-2x+2, how do you find (g+f)(-3)?

Back

First, calculate g(-3) and f(-3), then add the results: g(-3) = -2(-3) + 2 = 8, f(-3) = 3(-3)^2 + 4 = 31, so (g+f)(-3) = 8 + 31 = 39.

Front

What is the value of i^79?

Back

The value of i^79 is -i. The powers of i cycle every four: i, -1, -i, 1.

Front

What does it mean to simplify a radical expression?

Back

Simplifying a radical expression involves rewriting it in its simplest form, removing any perfect square factors from under the radical.

Front

How do you rationalize the denominator of a fraction?

Back

To rationalize the denominator, multiply the numerator and denominator by the conjugate of the denominator.

Front

What is the conjugate of a complex number a + bi?

Back

The conjugate of a complex number a + bi is a - bi.

Front

Back

Front

What is the absolute value of a complex number a + bi?

Back