Question

Function g is a transformation of the parent exponential function. Which statements are true about function g?

Function g is 4 units above function f.
Function g has a y-intercept of (0,4).
The domain of function g is x > 0 .
Function g decreasing over the interval (negative infinity, 0) .
The range of function g is (3, infinity) .
Function g is positive over the interval (negative infinity, infinity) .

Answer 1

Answer:

A,B,D,E

Step-by-step explanation:

Answer 2

The statements which are true shown below,

• Function g is 4 units above function f.

• Function g has a y-intercept of (0,4)

• The range of function g is (3, ∞).

• Function g is positive over the interval (-∞ , ∞ ).

From graph attached below, It is observed that

• Graph of function g is 4 units above the graph of parent exponential function.

• Domain of the function is defined as all the input values for which function is defined. From graph of function g, the domain of function is (-∞ , ∞ )

• The y- intercept is the point at which graph of function crosses the y-axis. Graph of function g crosses y-axis at (0, 4). Therefore, Function g has a y-intercept of (0,4).

• Function g increasing over the interval (-∞, 0) .

• Range of function is known as output values of function. From graph, it is observed that the range of function g is (3, ∞).

• Since, graph of function g is above x- axis. Therefore, Function g is positive over the interval (-∞ , ∞ ).

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