Free Printable Quiz 1 - Functions, Graphs, Trigonometry

1.

Determine the interval over which the function is increasing.

a)

(- $∞$ , 1)

b)

(- $∞$ , 5)

c)

(1, $∞$ )

d)

(5, $∞$ )

2.

Determine the interval over which the function is decreasing.

a)

(- $∞$ , -1.549) U (0.215, $∞$ )

b)

(-1.549, 0.215)

c)

(- $∞$ , 0.631) U (-2.133, $∞$ )

d)

(-2.133, 0.631)

3.

What is the equation of the graph?

a)

y = ln(x)

b)

y = e^x

c)

d)

y = tanx

4.

What is the equation of the graph?

a)

y = tanx

b)

c)

d)

y = e^x

5.

What is the equation of the graph?

a)

y = x²

b)

c)

y = |x|

d)

y = e^x

6.

What is the ln(1)?

a)

0

b)

1

c)

2

d)

Undefined (غير معرف)

7.

What is e⁰

a)

0

b)

1

c)

2

d)

Undefined (غير معرف)

8.

Find the domain of: $f\left(x\right)=\frac{\sqrt{x-2}}{x-8}$

a)

$\left(-\infty,\ 8\right)\cup\left(8,\ \infty\right)$

b)

$\left[2,\ 8\right)\cup\left(8,\ \infty\right)$

c)

$\left[2,\ \infty\right)$

d)

$\left(2,\ 8\right)\cup\left(8,\ \infty\right)$

9.

What steps transform the graph y = x² to y = x² + 8

a)

shifted up 8 units

b)

shifted down 8 units

c)

shifted left 8 units

d)

shifted right 8 units

10.

What steps transform the graph y = x² to y = (x - 4)²

a)

Shifted down 4 units

b)

Shifted left 4 units

c)

Shifted right 4 units

d)

Shifted up 4 units

11.

What is the equation of this graph?

a)

f(x) = (x -5)² + 1

b)

f(x) = (x - 1)² - 5

c)

f(x) = (x + 1)² - 5

d)

f(x) = (x + 5)² +1

12.

How did we transform from y=x²to

y = -3x²

a)

reflection in x-axis and shifts down

b)

reflection x-axis and compressed

c)

wider

d)

reflection x-axis and stretched

13.

What is csc(x) equivalent to?

a)

1/sin(x)

b)

1/tan(x)

c)

sin(x)

d)

1/cos(x)

14.

Please select the correct solution
cos²x + sin ²x=

a)

1

b)

csc²x + sec²x

c)

sin²x

d)

1 - sin²x

15.

Please select the correct solution

a)

csc x

b)

sec x

c)

cot x

d)

tan x

16.

Simplify

a)

sin²θ

b)

cosθ

c)

tanθ

d)

1- sin²θ

17.

$180\degree$ = _________radians

a)

$\frac{\pi}{2}$

b)

$\pi$

c)

$2\pi$

d)

$\infty$

18.

Which angle is in Quadrant III?

a)

$\frac{\pi}{3}$

b)

$\frac{3\pi}{2}$

c)

$\pi$

d)

$\frac{7\pi}{6}$

19.

Convert $\frac{4\pi}{3}$ into degrees

a)

$60\degree$

b)

$120\degree$

c)

$240\degree$

d)

$480\degree$

20.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

Quiz 1 - Functions, Graphs, Trigonometry

Total questions: 20

Worksheet time: 42mins

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