Answer:
1 is the positive difference in the y-intercept value of f(x) and g(x)
Step-by-step explanation:
The linear function f(x) passes through the points (0, 3) and (2, 7)
Here (0,3) is the point where f(x) crosses y axis
So y intercept = 3
Now we find g(x) from the given table
g(x) is an exponential function
General form of exponential function is g(x)= ab^x
Now we use the given values from the table
When x=2 , g(x)= 18
Plug in the values
[tex]g(x)= ab^x[/tex] => [tex]18= ab^2[/tex](equation 1)
When x=3 , g(x)= 54
Plug in the values
[tex]g(x)= ab^x[/tex] => [tex]54= ab^3[/tex](equation 2)
Divide second equation by first equation
[tex]\frac{54}{18} = \frac{ab^3}{ab^2}[/tex]
so b = 3
We know 18 = ab^2
Plug in 3 for b
[tex]18= a (3)^2[/tex]
18= 9a
Divide by 9 on both sides
So a= 2
So g(x) becomes [tex]g(x) = 2(3)^x[/tex]
To find y intercept we plug in 0 for x
g(x) = 2(3)^2= 2
So y intercept = 2
y intercept of f(x) is 3 and y intercept of g(x) is 2
Difference is 3-2 = 1
Answer:
1
Step-by-step explanation:
Just took the test on k12 and got it correct :)
