Question

Can someone help with this please?

Answer 1

Answer:

a. Function 1

b. Function 2

c. Function 4

Step-by-step explanation:

✔️Function 1:

y-intercept = 4 (the point where the line cuts across the y-axis)

Slope, using the two points (0, 4) and (1, 6):

$\frac{y_2 - y_1}{x_2 -x_1} = \frac{6 - 4}{1 - 0} = \frac{2}{1} = 2$

Slope = 2

✔️Function 2:

y-intercept = 1 (the value of y when x = 0)

Slope, using the two points (0, 1) and (1, -3):

$\frac{y_2 - y_1}{x_2 -x_1} = \frac{-3 - 1}{1 - 0} = \frac{-4}{1} = -4$

Slope = -4

✔️Function 3: y = 5x - 5

y-intercept (b) = -5

Slope (m) = 5

✔️Function 4:

y-intercept = -2

Slope = -1

Thus, the following conclusions can be made:

a. The function with the greatest y-intercept is Function 1 which is 4.

4 is greater than 1, -5, and -2.

b. Only Function 2 has slope that is less than -2.

-4 is less than -2.

2, 5, -1 are all greater than -2.

c. The function's graph with the least steep is the function whose slope value is the smallest. That is the greater the absolute value of the slope, the steeper the slope, and vice versa.

Function 4 has the least steep.