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Graphing functions

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Mathematics

9th - 12th Grade

Graphing functions
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20 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Which of the following is true about the graph of the polynomial functions?

I. The relative maximum is at ( 0,-5).

II. The relative minimum is at ( -3,-4).

III. The relative maximum is at ( -5,0).

IV. The relative minimum is at ( -4,-3).

I and IV

I and II

III and IV

II and III

2.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Given      f(x)=7x2+5f\left(x\right)=-7x^2+5  

Use the First Derivative Test to find the open interval in which f(x) is increasing or decreasing. Select ALL that apply.

Decreasing at   (,7)\left(-\infty,-7\right)  

Increasing at (, 0)\left(-\infty,\ 0\right)  

Decreasing at (0, )\left(0,\ \infty\right)  

Increasing at    (7,)\left(-7,\infty\right)  

Decreasing at   (,0)\left(-\infty,0\right)  

3.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Media Image

How many extrema are there in this graph?

2 max, 2 min

3 max, 2 min

2 max, 3 min

3 increasing intervals, 2 decreasing intervals

2 increasing intervals, 3 decreasing intervals

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

In section A, the graph is

Increasing

Decreasing

Constant

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Which is the interval of increasing for the graph? Assume there are arrows on the graph.

(-∞, 1)

(1, ∞)

(-∞, ∞)

(1, 5)

Answer explanation

Look for where the graph is going UP. Base the interval on the x-values. If there is an arrow pointing left, it goes back to negative infinity. If there is an arrow pointing right, it goes to positive infinity.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Which statement is true about this function?

The function is never constant
The function is always increasing
The function is never decreasing
The function increases on the interval 11:00 < x < 15:00

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find local maximum and local minimum values of the function f ( x) =

 x33xx^3-3x  

-1 , 1

2 , -2

2 , -1 

1 , 0 

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