Answer:
Option B is correct
Function 1, because the slope is 4 and the slope of function 2 is 2.
Step-by-step explanation:
Slope-intercept form:
The equation of line is given by:

where, m is the slope and b is the y-intercept
As per the statement:
Function 1: y = 4x + 5
On comparing with [1] we have;
Slope of function 1 = 4
Function 2: The line passing through the points (1, 6) and (3, 10).
Using slope formula:

Substitute the given points we have;

⇒
Simplify:
⇒
⇒
⇒ Slope of the function 2 is, 2
Since, function 1 is greater rate of change.( i.e 4 > 2)
Therefore,
Function 1 has the greater rate of change, because the slope is 4 and the slope of function 2 is 2.
Answer:
4x and -2x
Step-by-step explanation:
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Without seeing the graph, it's impossible to tell. The same can be said if we don't know the function rule. However, we can rule out three non-answers.
Choice B is false because the interval [1,3] has f(x) below zero but the rest of the interval to the right of x = 3 has f(x) not below zero.
Choice C is false. The value x = -1 leads to f(x) = 0 which is not greater than 0
Choice D is false because the values 8 and 4 are positive
After eliminating B, C, & D, we are left with choice A as the answer.