Free Printable Chapter 1 Activity 2

1.

Find the domain of the function

$f\left(x\right)=3x^3+4x^2+x-1$

a)

$\left(-\infty,\infty\right)$

b)

$x\le-\frac{1}{2}$

c)

$x\ge-\frac{1}{2}$

d)

$x\ne-\frac{1}{2}$

2.

Find the vertex of the function $f\left(x\right)=x^2+4x-1$

a)

$\left(2,5\right)$

b)

$\left(-1,-4\right)$

c)

$\left(-2,-5\right)$

d)

$\left(1,4\right)$

3.

Find the equation of the axis of symmetry of the quadratic function $f\left(x\right)=3x^2-6x+2$ .

Hint: Find the vertex first.

a)

$x=1$

b)

$x=2$

c)

$x=3$

d)

$x=4$

4.

The slope of the function $y-3x=5$ is $-3$

a)

TRUE

b)

FALSE

5.

The product of two numbers is 200. Express the sum of the numbers as the function of larger number.

a)

$S=y+100y$

b)

$S=y+\frac{100}{y}$

c)

$S=y+200y$

d)

$S=y+\frac{200}{y}$

6.

Find $\lim_{x\rightarrow5}\left(x^2+2\right)$

a)

25

b)

26

c)

27

d)

28

7.

Does $\lim_{x\rightarrow-3}\frac{\left(x+5\right)\left(x+3\right)}{x+3}$ is 2.

a)

TRUE

b)

FALSE

8.

Find the equation of the line that pass through (1,1) and parallel to the line y=2x+3.

a)

$y=x+1$

b)

$y=2x-1$

c)

$y=-2x-4$

d)

$y=2x+2$

9.

Find the limit

$\lim_{x\rightarrow\infty}\frac{2x^2-7x+5}{3x^3+2x-1}$

a)

Does not exist

b)

$+\infty$

c)

$\frac{2}{3}$

d)

$0$

10.

Find the limit. Input your answer.

$\lim_{x\rightarrow4}\frac{x+8}{\sqrt[]{x}+4}$

(a)

Chapter 1 Activity 2

Total questions: 10

Worksheet time: 14mins

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