# Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 4x + 2 The function g(x) going through 0, −2 and 1, 3 The function f(x) has a larger slope. The function g(x) has a larger slope. They both have the

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Below are two different functions, #f(x) and g(x)# . What can be determined about their slopes?

#f(x)= 4x + 2# The function #g(x)# going through #(x,y)=(0, −2) and (x,y)=(1, 3)#

The function #f(x)# has a larger slope.

The function #g(x)# has a larger slope.

They both have the same slope.

The relationship between slopes cannot be determined.

Below are two different functions,

The function

The function

They both have the same slope.

The relationship between slopes cannot be determined.

##### 2 Answers

Therefore

#### Explanation:

The slope is the constant in front of x, i.e. f(x) has a slope of 4

The way I understand your statement, you mean that g(x) goes through the points (0, -2) and (1, 3) *(otherwise one might understand your statement that g(x) is, 0, -2, 1, 3 for some values of x).
(Please remember to write precisely what you are asking, otherwise you risk misunderstanding of your question.)*

From this it follows that

i.e.

Therefore g(x) has a greater slope than f(x).

If we write g(x)=ax+b

we have

Therefore,

#### Explanation:

The slope of

Lets have a look at

The slope (gradient) is determined by reading along the x-axis from left to right. Thus using

For the slope we have

So for the gradient:

Thus

Bad practice to use the word 'larger' for a measure of slope