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Unit 5 Lesson 6

Authored by Jonathan Barron

Mathematics

9th Grade

Used 3+ times

Unit 5 Lesson 6
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11 questions

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1.

MULTIPLE SELECT QUESTION

3 mins • 1 pt

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Determine which of the following functions could be represented by the graph.

(select all that apply)

Answer explanation

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Could be f(x) because:

- vertex is negative: (-3, -2)

- opens upwards

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Could be m(x) because:

- has two negative roots

- roots at x= -4 and x= -2

- opens upwards

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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Which function is modeled by the function?

f(x) = -x + 4

f(x) = 3x

f(x) = 2x + 1

f(x) = x - 3

f(x) = x + 3

Answer explanation

Try to match an input for x and output for y

----- ----- ----- -----

Using input of x = 0 only works for one function option

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f(0) = 2(0) + 1 = 1

3.

OPEN ENDED QUESTION

1 min • 1 pt

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Consider the functions f(x) and g(x). Determine the type of function each models.

(linear, quadratic, neither)

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Answer explanation

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F(x) is linear

G(x) is quadratic

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There is more than one way to know g(x) is quadratic

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1) Look at table and see that y-values repeat

2) Look at table and find constant second difference

3) Plot the points in Desmos

4.

OPEN ENDED QUESTION

1 min • 1 pt

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Consider the functions f(x) and g(x). Determine the y-intercept for each function.

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OFF

Answer explanation

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Y-intercept is when x = 0 on a graph or table

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F(x) has y-intercept of -5

G(x) has y-intercept of 9

5.

MATH RESPONSE QUESTION

3 mins • 1 pt

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Consider the function f(x). Find the R.O.C. from [0, 2] for f(x).

Mathematical Equivalence

ON

6.

OPEN ENDED QUESTION

3 mins • 1 pt

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Consider the function f(x). Write an equation for the graph.

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OFF

Answer explanation

Many ways to write answer

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y = -5 + 3x

y = 3x - 5

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f(x) = -5 + 3x

f(x) = 3x - 5

7.

OPEN ENDED QUESTION

5 mins • 1 pt

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What type of function (Linear or Quadratic) would best describe the squeegee’s height as a function of time? Explain your thinking.

Evaluate responses using AI:

OFF

Answer explanation

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More than one way to answer

----- ----- ----- -----

1) Find common first or second difference

2) Plot graph in Desmos

----- ----- ----- -----

Plot supports quadratic function

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