Free Printable Alg 2 DOL 1: Roots of functions

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Alg 2 DOL 1: Roots of functions

Total questions: 25

Worksheet time: 50mins

Name

Class

Date

^{What is the x- intercept of the line?}

(0,-1)

(-2,0)

(-1,0)

(0,-2)

What is another name for the x-intercepts?

y-intercepts

zeros

x-axis

none of these

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

(8,10)

8, 3, 0, 4, 9

(0,8)

(9,0)

What are the x- intercepts?

x= 0 and x= -4

x= 0 and x= 4

y= 0

x= 2

What are the zeros of the function in the graph?

(-1, 0) and (1, 0)

(0, -1) and (0, 1)

(0, -1)

(-1, 0) and (1, 0) and (0, -1)

Find the solutions to: 7(x-10)(3x+2)

x = 10 and x = -2/3

x = 10 and x = -2

x = 1 and x = -2/3

Find the roots: 5x² + 31x + 6 = 0

x = -1 and x = -6

x = -1/5 and x = 6

x = -1/5 and x = -6

Find the x-intercepts: 7x² - 54x + 35 = 0

x = 5/7 and x = 7

x = 5 and x = 7

x = 5/7 and x = -7

Find the zeroes: 2x² - x - 6 = 0

x = -3 and x = 2

x = -3/2 and x = 2

x = -3/2 and x = -2

10.

Find the zeros by factoring.

g(x) = 2x² + 9x + 4

(-4,1) and (-1/2, 0)

(-4,0) and (-1/2, 0)

(4,0) and (-1/2, 0)

11.

Solve by factoring: x² - 9x + 20 = 0

x = -4 and x = -5

x = 20 and x = -9

x = 4 and x = 5

x = -4 and x = 5

12.

What could be the equation for this graph?

y = -2x³+ 1x + 3

y = (x - 2)(x + 1)(x + 3)

y = (x + 2)(x - 1)(x - 3)

y = -2x² + 1x + 3

13.

What could be the equation for this graph?

y = -2x³+ 1x + 3

y = (x - 2)(x + 1)(x + 3)

y = (x + 2)(x - 1)(x - 3)

y = -2x² + 1x + 3

14.

Determine the roots of the polynomial.
f(x) = (x+1)(x-4)(x+2)

1, 4, 2

-1, -4, -2

1, -4, 2

-1, 4, -2

15.

Determine the roots of the polynomial.
f(x) = (x-2)(x+3)²

2, 3

2, -3

-2, 3

-2, 3, 3

16.

What is/are the zero(s) of the function?

x = 4, x = 1, x = -2

x = -4, x = -1, x = 2

y = -2

(0, -4), (0, -1), (0, 2)

17.

Using you CALCULATOR, What are the zeros of the function f(x) = -2x³ - 4x² + 6x?

x = 0, -2, -3, 1

x = -3, 1

x = 0, 3, -1

x = 0, -3, 1

18.

What are the roots of the function?

-6

-1 and -3

-6, -1, and -3

19.

____________

How many real solutions does this function have?

No real solutions

One Solution

2 solutions

20.

How many solutions does this function have?

No real solutions

One solution

Two solutions

21.

How many solutions does this function have?

Two solutions

One solution

No real solutions

22.

What is a quadratic function in factored (intercept) form with x-intercepts of 5 and -2

f(x) = x² + 3x -10

f(x) = (x + 5)(x - 2)

f(x) = (x - 5)(x + 2)

f(x) = (x + 1.5)² - 12.25

23.

What are the x-intercepts for g(x) = (x + 8)(x + 2)

8 and 2

(8, 2)

-8 and - 2

(-8, -2)

24.

What are the x-intercepts?

0 and 8

-2 and -4

3 and -1

2 and 4

25.

Find the solutions of the function $y=(x+7)(2x-1)$

x= -7 and 1

x= 7 and -1/2

x= -7 and 1/2

x= -7 and -1/2

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Alg 2 DOL 1: Roots of functions

Total questions: 25

Worksheet time: 50mins

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