Quiz about How Many Roots

Question 1

How many roots does this graph have?

Accepted Answer

4 distinct real roots

Answer

1 repeating real root

Answer

2 distinct real roots

Answer

3 distinct real roots

Question 2

What type of roots does this graph have?

Accepted Answer

2 imaginary roots

Answer

1 real repeating root

Answer

2 distinct real roots

Question 3

How many real roots does this graph have?

Accepted Answer

3 distinct real roots

Answer

1 repeating real root

Answer

2 distinct real roots

Answer

3 imaginary roots

Question 4

What is the equation of this graph?

Accepted Answer

$$f\left(x\right)=2\left(x-3\right)^2+1$$

Answer

$$f\left(x\right)=3\left(x-3\right)^2+1$$

Answer

$$f\left(x\right)=2\left(x-1\right)^2+3$$

Answer

$$f\left(x\right)=-2\left(x-3\right)^2+1$$

Question 5

What are the roots for this function?

Accepted Answer

(4, 0)

Accepted Answer

(-7, 0)

Answer

(-4, 0)

Answer

(7, 0)

Answer

(7, 4)

Question 6

What type of roots does this function have?

Accepted Answer

1 real repeating root

Answer

2 distinct real roots

Answer

2 imaginary roots

Answer

No roots

Question 7

What determines the number of roots that an equation has?

Accepted Answer

The highest exponent

Answer

The constant in the expression

Answer

The linear term

Answer

The quadratic term

Question 8

A cubic, a function to the third power, can have what combinations of roots?

Accepted Answer

2 real roots and 1 imaginary root

Accepted Answer

1 real root and 2 imaginary roots

Accepted Answer

3 real repeating roots

Accepted Answer

3 distinct real roots

Question 9

What is the a value of this graph?

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 10

How many solutions does the following equation have? $$g\left(x\right)=2x^5-3x^4+7x^3+9x^2-x=12$$

Accepted Answer

Answer

Answer

Answer

Answer

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