Linear Functions

March 1, 2023

​Notebook, Computer

Fill in the Blanks

What is the slope of a line that passes through the points (-3, 4) and (2, 6)?

Type your answer in fractional form.

Multiple Choice

Which set of ordered pairs represents a function?

• {(1,4), (2, 3), (3, 5)}

• {(2, 1), (2,5), (2,6)}

• {(-2, -2), (0, -2), (-2, 2)}

• {(0, 1), (-2, 1), (0, 3)}

Multiple Choice

Is the given graph a function?

• No, since the graph crosses thrice using a vertical line test.

• Yes, since its a curved graph.

• Yes, since the graph crosses once using a vertical line test.

• No, since it has no domain.

Multiple Choice

Which graph represents a linear function?

Linear Functions

-is a one-degree function.

-every variable has only an exponent of 1 (one)

-written in the form

y = mx + b or f(x) = mx + b

-constant rate of change

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​Linear Functions

Multiple Select

Select all the that are linear functions.

• $$y\ =\ 3x+2$$

• $$f\left(x\right)=-2x$$

• $$y=2x^{2\ }+1$$

• $$y=7$$

Multiple Select

Which of the equations is not a linear function?

• $$y=\frac{2}{x}$$

• $$y=-4x$$

• $$f\left(x\right)=3x$$

• $$f\left(x\right)=4$$

Multiple Choice

Is $$f\left(x\right)=-3x^2-2$$ a linear function?

• No, since the slope is negative.

• No, since the the exponent of x is 2 and not 1.

• Yes, since the exponent of the variable is 2.

• Yes, since it is written in f(x) form.

It must have a constant rate of change (slope).

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​Linear Functions In Tabular Form

Multiple Choice

Does the given table shows a constant rate of change?

• Yes, the x-values goes by 1 and the y-values goes by -4.

• Yes, the x-values goes by 1 and the y-values goes by 4.

• No, since the y-values does not have a constant rate of change.

• No, since the x-values does not have a constant rate of change.

Multiple Choice

Does the table showed a linear function?

• Yes, the x-values goes by 1.

• Yes, the x-values goes by 1 and the y-values goes by 3.

• No, the y-values goes by 3 and 4.

• No, the x-values goes by 1.

Poll

What do you think about the lesson today?

• I don't understand everything!

• It's complicated and I need to

• I understand it but I will surely forgot about it.

• I understand it and have few clarifications.

• I understand the whole lesson with no questions at all.