Question

The linear function g is defined by g(x)=4x. show that g(3) and g(2) have a difference of 4.

Answer 1

To calculate the difference between g(3) and g(2), substitute the values of x into the equation g(x) = 4x and evaluate.

Step-by-step explanation:

To show that g(3) and g(2) have a difference of 4, we need to evaluate g(3) and g(2) and calculate the difference between them.

Given that g(x) = 4x, we can substitute x = 3 and x = 2 into the equation:

g(3) = 4(3) = 12

g(2) = 4(2) = 8

The difference between g(3) and g(2) is 12 - 8 = 4. Therefore, g(3) and g(2) have a difference of 4.

Answer 2

the answer is D.

Step-by-step explanation:

well, the y-intercept for f(x) is at

as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.

for g(x), well an y-intercept is when x = 0, what is it from that table? well, is at 0,3, so when x = 0, y = 3, so no dice on that one.

c)

whenever an x-intercept occurs, y = 0, for f(x) that's at

what about the x-intercept for g(x)? well, let's check, when is y = 0? aha! at -9, 0, so when y = 0, x = -9, so no dice on that one either.

d)

well, what is the slope of g(x) anyway? well, let's pick two points off the table to get it hmmm the first two let's use,

and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.

well, 2/3 is larger than 1/3, so no dice.

b)

well, you already know.