Iwill give brainliest, 30 points the graph below shows three functions: graph of function f of x equals 2 to the power of negative x. graph of function g of x equals 5 to the power of x. graph of p of x is a line segment connecting points negative 1, negative 3 and 2, 12. which function has all real numbers as its domain? only f(x) both g(x) and p(x) both f(x) and g(x) only p(x)

Only p(x) has all real numbers as its domain

Step-by-step explanation:

The given functions is:

g(x) = 5ˣ

p(x) = (1, 3) and (2, 12)

To find equation of the line passing through points (x₁,y₁) and (x₂,y₂), (x₁≠x₂). We use formula:

where,(x₁,y₁) = (1, 3) and (x₂,y₂) = (2,12)

Hence, p(x) = y = 9x − 6

Here, both f(x) and g(x) is exponential function and p(x) is linear function.

Also here f(x) is not defined in large negative value, hence its domain is not all real numbers.

And g(x) is not defined in large positive value, hence its domain is not all real numbers.

But p(x) is defined over all real numbers, hence Only p(x) has domain of all real numbers.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )