Question

The values of a linear function are given in the table below:

f(x) 0
7
12
x
−7 0
5
What is the point with a positive x
-coordinate at which the exponential function g(x)=3x exceeds f(x)?

(1 point)
Responses

g(x) and f(x) have the same y
-value at (2, 9) since f(2)=9, g(2)=9, and g(x)>f(x)>9 for all x>2.
g left parenthesis x right parenthesis and f left parenthesis x right parenthesis have the same y - value at left parenthesis 2 comma 9 right parenthesis since f left parenthesis 2 right parenthesis equals 9 , g left parenthesis 2 right parenthesis equals 9 , and g left parenthesis x right parenthesis greater than f left parenthesis x right parenthesis greater than 9 for all x greater than 2 .

g(x) and f(x) have the same y
-value at (2, 9) since f(2)=9, g(2)=9, and g(x)>f(x)>2 for all x>9.
g left parenthesis x right parenthesis and f left parenthesis x right parenthesis have the same y - value at left parenthesis 2 comma 9 right parenthesis since f left parenthesis 2 right parenthesis equals 9 , g left parenthesis 2 right parenthesis equals 9 , and g left parenthesis x right parenthesis greater than f left parenthesis x right parenthesis greater than 2 for all x greater than 9 .

g(x) and f(x) have the same y
-value at (9, 2) since f(9)=2, g(9)=2, and g(x)>f(x)>9 for all x>2.
g left parenthesis x right parenthesis and f left parenthesis x right parenthesis have the same y - value at left parenthesis 9 comma 2 right parenthesis since f left parenthesis 9 right parenthesis equals 2 , g left parenthesis 9 right parenthesis equals 2 , and g left parenthesis x right parenthesis greater than f left parenthesis x right parenthesis greater than 9 for all x greater than 2 .

g(x) and f(x) have the same y
-value at (9, 2) since f(9)=2, g(9)=2, and g(x)>f(x)>2 for all x>9.

Answer 1

g(x) and f(x) have the same y-value at (2, 9) since f(2)=9, g(2)=9, and g(x)>f(x)>9 for all x>2.