Which function is increasing at the highest rate?
oa
b. 12. - 6y =
c. x 1
–24
2
3
g(x)
5
i
4
d.
a linear function, f, with an x-intercept of 8 and a y-intercept of -4.

Option B:

Step-by-step explanation:

A function is said to be increasing if it has a slope greater than 0.

The function with the largest slope has the highest increasing rate.

Here, for the graph in option A, the function is decreasing with increasing . So, it has a negative slope.

We need to convert equation of option B into standard form and then determine its slope.

The standard form of a straight line is , where is the slope of the line and is the y-intercept.

Now, given function is:

Therefore, the slope is 2.

Option C:

Slope is given as,

Therefore, the slope is 1.

Option D:

Equation of a line with and as and intercepts is given as,

Here, and

∴

Therefore, the slope is .

Hence, the largest slope is for option B and thereby the highest increasing rate.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0