Question

The linear function f(x) passes through the points (0,1) and (2,7).

Answer 1

Answer:

2 is 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 (0,1) and (2,7)

Using two point formula of line find function f(x)

$f(x)-1=\frac{7-1}{2-0}(x-0)$

$f(x)=3x+1$

For y-intercept, put x=0

f(x)=1

Ordered pair values are the exponential function g(x)

  x  :      -1     2      3

g(x):    1.5    12     24

Using exponential function $y=ab^x$

$g(x)=3(2)^x$

For y-intercept, put x=0

g(0)=3

We need to find the difference of y-intercept of f(x) and g(x)

Difference = g(0)-f(x) = 3 - 1 = 2

Thus, 2 is positive difference in the y-intercept value of f(x) and g(x).

Answer 2

Answer:

I'm not good at explaining things, but I took the test and know for a fact that the correct answer is 2. The positive difference in the y-intercept value of f(x) (1,) and g(x) (3,) is 2. 3 - 1 = 2 easy maths. Enjoy <3