Question

State the domain and range for the graph of the following function:


`y = - 9 * 5^(x + 2)`
the domain is (select) All real #s less than zero, All real #s, All real #s greater than zero

The range is: y<0, -9<y<5, y>0​

Answer 1

Domain: all real numbers

Range: y < 0

Explanation:

y = -9 × 5^(x + 2)

5^(x + 2) > 0 for all x

-9 × 5^(x + 2) < 0 for all x

Answer 2

The domain is the x value which can be any real number.

The range is the y value , which the range of an exponential function which does not add or subtract anything after the exponent is y < 0

Domain= all real numbers

Range = y < 0