Exponential Function Behavior and Values

The video tutorial explores the behavior of an exponential function as x approaches both positive and negative infinity. It begins by calculating y values for specific x values to understand the function's shape. As x increases, the function's y values decrease towards negative infinity. Conversely, as x decreases, the function approaches zero but never crosses it. The tutorial provides a detailed analysis of the function's behavior in both directions.

What happens to the y-values of an exponential function as x approaches positive infinity?

• They approach zero.

• They increase without bound.

• They decrease without bound.

• They remain constant.

What is the y-intercept of the exponential function when x equals 0?

• 2

• 1

• -1

• 0

What is the y-value of the function when x equals 1?

• 0

• 1

• 2

• -1

As x increases, what trend is observed in the y-values of the function?

• They oscillate.

• They decrease without bound.

• They increase without bound.

• They approach zero.

What is the y-value of the function when x equals 2?

• -4

• 4

• 0

• 2

What happens to the function as x approaches negative infinity?

• It becomes undefined.

• It becomes positive.

• It oscillates.

• It approaches zero but never crosses it.

What is the y-value when x equals -2?

• 1/4

• -4

• 4

• -1/4

As x decreases, what happens to the denominator of the function's fractional value?

• It becomes negative.

• It remains constant.

• It becomes larger.

• It becomes smaller.

What is the reciprocal of -2 to the power of -1?

• 1/2

• -2

• 2

• -1/2

What is the general behavior of the function as x approaches negative infinity?

• It crosses zero.

• It approaches zero but never crosses it.

• It becomes positive.

• It becomes undefined.