Determine which of the following expressions describes a linear function?
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Determine which of the following expressions describes a linear function?
Note that in answer A there is an exponent, therefore the answer is incorrect.
Note that in answer C, if we multiply X by X we get X to a power, therefore the answer is incorrect.
Note that in answer D there is an exponent, therefore the answer is incorrect.
In answer B the following formula can be observed.
Which statement best describes the graph below?
A function is linear if it can be written as where m and b are constants. The highest power of x must be exactly 1.
Always expand expressions like to see the true form: . The term makes it quadratic, not linear.
Even though it has a linear term (2x), the term makes the overall function quadratic. Linear functions can only have x to the first power.
Linear: highest power is (straight line graph)
Quadratic: highest power is (parabola graph)
Yes! is linear (horizontal line). It's the same as where the slope m = 0.
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