Quiz about DFC #10 (through Topic 3.9)

Question 1

$$\sin\left(x\right)$$

Accepted Answer

$$\frac{y}{r}$$

Answer

$$\frac{x}{r}$$

Answer

$$\frac{y}{x}$$

Answer

None of these

Question 2

$$\cos\left(x\right)$$

Accepted Answer

$$\frac{x}{r}$$

Answer

$$\frac{y}{r}$$

Answer

$$\frac{y}{x}$$

Answer

None of these

Question 3

$$ an\left(x ight)$$

Accepted Answer

$$\frac{y}{x}$$

Answer

$$\frac{x}{r}$$

Answer

$$\frac{y}{r}$$

Answer

None of these

Question 4

The period of sine and cosine functions is...

Accepted Answer

$$2\pi$$

Answer

$$\pi$$

Answer

$$b$$

Answer

None of these

Question 5

The period of the tangent function is...

Accepted Answer

$$\pi$$

Answer

$$2\pi$$

Answer

$$b$$

Answer

None of these

Question 6

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

Accepted Answer

$$ heta=\frac{period}{2}+\left(period ight)k$$

Answer

$$ heta=period+\left(\frac{period}{2} ight)k$$

Answer

$$ heta=2\pi+\pi k$$

Answer

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

Question 7

The coordinates of point P around a circle...

Accepted Answer

$$\left(r\cos heta,\ r\sin heta ight)$$

Answer

$$\left(r\sin heta,\ r\cos heta ight)$$

Question 8

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

Accepted Answer

Sine

Answer

Cosine

Answer

Tangent

Answer

Logarithm

Answer

Exponential

Question 9

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

Accepted Answer

Cosine

Answer

Sine

Answer

Tangent

Answer

Logarithm

Answer

Exponential

Question 10

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

Accepted Answer

Tangent

Answer

Sine

Answer

Cosine

Answer

Logarithm

Answer

Exponential

Question 11

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

Accepted Answer

Exponential

Answer

Sine

Answer

Cosine

Answer

Tangent

Answer

Logarithm

Question 12

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

Accepted Answer

Logarithm

Answer

Sine

Answer

Cosine

Answer

Tangent

Answer

Exponential

Question 13

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

Accepted Answer

$$x
e0$$

Answer

$$x>0$$

Answer

$$x\ge0$$

Answer

There is no domain restriction for this function type.

Question 14

What is the domain restriction for a square root function?

Accepted Answer

$$x\ge0$$

Answer

$$x
e0$$

Answer

$$x>0$$

Answer

There is no domain restriction for this function type.

Question 15

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

Accepted Answer

$$x>0$$

Answer

$$x
e0$$

Answer

$$x\ge0$$

Answer

There is no domain restriction for this function type.

Question 16

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

Accepted Answer

increasing

Answer

decreasing

Answer

constant

Question 17

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

Accepted Answer

decreasing

Answer

increasing

Answer

constant

Question 18

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

$$b^a=c$$

Accepted Answer

$$\log_bc=a$$

Answer

$$\log_ba=c$$

Answer

$$\log_cb=a$$

Answer

$$\log_ac=b$$

DFC #10 (through Topic 3.9)

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