Free Printable DFC #10 (through Topic 3.9)

1.

$\sin\left(x\right)$

a)

$\frac{x}{r}$

b)

$\frac{y}{r}$

c)

$\frac{y}{x}$

d)

None of these

2.

$\cos\left(x\right)$

a)

$\frac{x}{r}$

b)

$\frac{y}{r}$

c)

$\frac{y}{x}$

d)

None of these

3.

$\tan\left(x\right)$

a)

$\frac{x}{r}$

b)

$\frac{y}{r}$

c)

$\frac{y}{x}$

d)

None of these

4.

The period of sine and cosine functions is...

a)

$2\pi$

b)

$\pi$

c)

$b$

d)

None of these

5.

The period of the tangent function is...

a)

$2\pi$

b)

$\pi$

c)

$b$

d)

None of these

6.

For Tangent Function Transformations, b is defined as…

a)

$\frac{2\pi}{period}$

b)

$\frac{\pi}{period}$

c)

$\frac{period}{2\pi}$

d)

$\frac{period}{\pi}$

7.

For Sinusoidal Transformations, b is defined as…

a)

$\frac{2\pi}{period}$

b)

$\frac{\pi}{period}$

c)

$\frac{period}{2\pi}$

d)

$\frac{period}{\pi}$

8.

The general equation for the periodic asymptotic behavior of the tangent function...

a)

$\theta=\frac{period}{2}+\left(period\right)k$

b)

$\theta=period+\left(\frac{period}{2}\right)k$

c)

$\theta=2\pi+\pi k$

d)

$\theta=\frac{period}{\pi}+\pi k$

9.

For inverse trig functions, the input value is…

a)

function values

b)

angle measures

10.

For inverse trig functions, the output value is…

a)

function values

b)

angle measures

11.

The coordinates of point P around a circle...

a)

$\left(r\cos\theta,\ r\sin\theta\right)$

b)

$\left(r\sin\theta,\ r\cos\theta\right)$

12.

What kind of function is this (assuming there is no phase shift)?

a)

Sine

b)

Cosine

c)

Tangent

d)

Logarithm

e)

Exponential

13.

What kind of function is this (assuming there is no phase shift)?

a)

Sine

b)

Cosine

c)

Tangent

d)

Logarithm

e)

Exponential

14.

What kind of function is this (assuming there is no phase shift)?

a)

Sine

b)

Cosine

c)

Tangent

d)

Logarithm

e)

Exponential

15.

What kind of function is this (assuming there is no phase shift)?

a)

Sine

b)

Cosine

c)

Tangent

d)

Logarithm

e)

Exponential

16.

What kind of function is this (assuming there is no phase shift)?

a)

Sine

b)

Cosine

c)

Tangent

d)

Logarithm

e)

Exponential

17.

What is the domain restriction for a rational function? EX: $\frac{1}{x}$

a)

$x\ne0$

b)

$x>0$

c)

$x\ge0$

d)

There is no domain restriction for this function type.

18.

What is the domain restriction for a square root function?

a)

$x\ne0$

b)

$x>0$

c)

$x\ge0$

d)

There is no domain restriction for this function type.

19.

What is the domain restriction for a logarithmic function? EX: $\ln\left(x\right)$

a)

$x\ne0$

b)

$x>0$

c)

$x\ge0$

d)

There is no domain restriction for this function type.

20.

A part of a graph that is concave up has a rate of change that is...

a)

increasing

b)

decreasing

c)

constant

21.

A part of a graph that is concave down has a rate of change that is...

a)

increasing

b)

decreasing

c)

constant

22.

Which of the following correctly re-writes the exponential expression as a logarithmic expression?

$b^a=c$

a)

$\log_bc=a$

b)

$\log_ba=c$

c)

$\log_cb=a$

d)

$\log_ac=b$

DFC #10 (through Topic 3.9)

Total questions: 22

Worksheet time: 7mins

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