Question

Which of the following is the function representing the graph below?

graph begins in the third quadrant near the line y equals negative 3 and increases slowly while crossing the ordered pair 0, negative 2. When the graph enters the first quadrant, it begins to increase quickly throughout the graph


Answers =


f(x) = 4x


f(x) = 4x − 3


f(x) = 4x + 3


f(x) = 4(x + 3)

Answer 1

Option B.

Explanation:

It is given that graph begins in the third quadrant near the line y equals negative 3 and increases slowly while crossing the ordered pair 0, negative 2.

When the graph enters the first quadrant, it begins to increase quickly throughout the graph.

It means it is an exponential function shifted 3 units down and having y-intercept at point (0,-2).

The given options are

`f(x)=4^x`

`f(x)=4^x-3`

`f(x)=4^x+3`

`f(x)=4^(x+3)`

Substitute x=0 in the above functions to find the y-intercepts.

`f(0)=4^0=1`

`f(0)=4^0-3=1-3=-2`

`f(0)=4^0+3=1+3=4`

`f(0)=4^(0+3)=64`

Only function
`f(x)=4^x-3` intersect y-axis at (0,-2)

Hence, the correct option is B.

Answer 2

It seems like you are describing the graph of

... 4^x -3