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stiv31 [10]
3 years ago
11

Which of the following Functions is NOT Linear? A:f(x)=x+0.5 B:F(x)=-x+0.5 C: F(x)=x^2-0.5 D: f(x)=0.5x

Mathematics
2 answers:
Allisa [31]3 years ago
8 0

Answer:

<h2>C: f(x) = x² - 0.5</h2>

Step-by-step explanation:

The grsaph of the linear function is a straight line.

The equation of a line in the slope-intercept fomr is:

<em>y = mx + b</em>

where

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

<em />

We have:

A: f(x) = x + 0.5

it's a linear function: <em>m = 1, b = 0.5</em>

B: f(x) = -x + 0.5

it's a linear function: <em>m = -1, b = 0.5</em>

C: f(x) = x² - 0.5

it's not a linear function because in the equation is square of x (x²).

The graph of this function is a parabola.

D: f(x) = 0.5x

it's a linear function: <em>m = 0.5, b = 0</em>

Citrus2011 [14]3 years ago
6 0

Answer:

C: F(x)=x^2-0.5

Step-by-step explanation:

When the x is squared it's a parabola. A linear graph is shaped like a straight line, while a parabola is curved inward. I have included a graph of what that function would look like (tap/click on it to see the full graph.)

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