Free Printable GRADE 10 REVIEW

1.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

2.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

3.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

4.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

5.

Which relation is not a function?

a)

{(1,-5), (3,1), (-5,4), (4,-2)}

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

6.

Is this table a function or not a function?

a)

Function

b)

Not a Function

7.

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

a)

5n+1

b)

-5n+1

c)

-2n+1

d)

-6n-1

8.

f(n)=x²+1
g(n)=2x-5
Find f(n)-g(n)

a)

x²-2x+6

b)

-x²+2x+4

c)

-x²-2x-6

d)

x²-2x-4

9.

f(x)=2x+4
g(x)=3x²-1
Find f(x)*g(x)

a)

6x⁴+12x³-4x²-8x

b)

-6x³+12x²+2x-4

c)

6x³+12x²-2x-4

d)

5x²-18x+20

10.

f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f - g)(x).

a)

x² + 8x + 1

b)

x² + 6x - 1

c)

5x² + 8x - 1

d)

x² + 8x -1

11.

a)

b)

c)

d)

12.

a)

b)

c)

d)

13.

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

a)

3x² +5

b)

x² +1

c)

3x² +1

d)

3x² +6

14.

For f(x) = 2x²-1, what is and (f ° f)(-2) ?

a)

7

b)

97

c)

13

d)

6

15.

a)

b)

c)

d)

16.

a)

b)

c)

d)

17.

a)

b)

c)

d)

18.

a)

b)

c)

d)

19.

$\frac{5}{x}$ What is the restricted domain?

a)

$x\ne5$

b)

$x\ne0$

c)

$x\ge5$

d)

$x\ge0$

20.

$\frac{3}{x+4}$ What is the restricted domain?

a)

$x\ge4$

b)

$x\ge3$

c)

$x\ne3$

d)

$x\ne-4$

21.

What are the domain restrictions $f\left(x\right)=\frac{3}{x^2+6x+5}$

a)

$x\ne-5,-1$

b)

$x\ne1,5$

c)

$x>5,\ x<1$

d)

$x<-5,\ x>-1$

22.

Determine $\lim_{x\rightarrow4}\left(x^2-5x-6\right)$ using limit theorems.

a)

-10

b)

-5

c)

5

d)

10

23.

Determine $\lim_{x\rightarrow4}\left(\frac{x^2-5x-6}{x-6}\right)$ using limit theorems.

a)

-10

b)

-5

c)

5

d)

10

24.

Determine $\lim_{x\rightarrow\ 1}\ln\left(x^2+x-1\right)$ using table of values.

a)

-1

b)

0

c)

1

d)

Does not exist

25.

Determine $\lim_{x\rightarrow\ 3}\ \frac{\sin\left(x-3\right)}{x-3}$ using table of values.

a)

-1

b)

0

c)

1

d)

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GRADE 10 REVIEW

Total questions: 25

Worksheet time: 19mins

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