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Dahasolnce [82]

3 years ago

9

If the value of b decreases, but the value of m remains the same, what will happen to the x-intercept?

1 answer:

Ilya [14]3 years ago

6 0

Answer:

<em>A) The x-intercept decreases. </em>

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

<em> Consider the function f(x) = mx + b, where m > 0. </em>

<em>If the value of b decreases, but the value of m remains the same, what will happen to the x-intercept? </em>

<em>A) The x-intercept decreases. </em>

<em>B) The x-intercept increases. </em>

<em>C) The x-intercept approaches zero. </em>

<em>D) The x-intercept remains the same </em>

Here is my answer:

Given the function f(x) = mx + b, where m > 0.

x-intercept happen when y =0

When b decreases and m stay the same, the value of f(x) will be decreased. For example: f(x)= 2x + 3 = 0

When b unchanged, m unchanged we have: 2x + 3 = 0 <=> x = -3/2

When b decreases to 2, m unchanged we have: 2x + 2 = 0 <=> x = -1

Obviously that, -1 < -3/2 so the x-intercept will be decreased

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