Question

What is the average rate of change for the function f(x) = 3x2 – 5 on the interval –3 < x < -1​

Answer 1

Answer:

Algebra Examples

Popular Problems Algebra Graph f(x)=3x^2-5

f

(

x

)

=

3

x

2

−

5

Find the properties of the given parabola.

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Direction: Opens Up

Vertex:  

(

0

,

−

5

)

Focus:  

(

0

,

−

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

61

12

Select a few  

x

values, and plug them into the equation to find the corresponding  

y

values. The  

x

values should be selected around the vertex.

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x

y

−

2

7

−

1

−

2

0

−

5

1

−

2

2

7

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:  

(

0

,

−

5

)

Focus:  

(

0

,

−

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

61

12

x

y

−

2

7

−

1

−

2

0

−

5

1

−

2

2

7

image of graph

Step-by-step explanation: