Question

Question 1
Use the exponential function rule to answer all parts of the question.

f(x)=(3)x


Part 1: Identify the domain of the function.

Responses

all real numbers
all real numbers

{x| x 3}
{x| x 3}

{x| x>0}
{x| x>0}

{x| x−3}
{x| x−3}
Question 2
Part 2: Identify the range of the function.
Responses

{y| y>0}
{y| y>0}

{y| y−3}
{y| y−3}

{y| y 3}
{y| y 3}

all real numbers
all real numbers
Question 3
Part 3: Identify the y-intercept of the function.
Responses

(0, 1)
(0, 1)

(0, 3)
(0, 3)

(0, 0)
(0, 0)

(0, −3)
(0, −3)

Answer 1

Part 1 (Domain): all real numbers.

Part 2 (Range): {y | y > 0} (all positive real numbers).

Part 3 (y-intercept): (0, 1) because 3^0 = 1.