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3 years ago

What is the range of y = sin θ ?

2 answers:

7 0

The range of a function is the set of all the possible function outputs. We know that sin theta varies between -1 and 1 if we draw a graph. According to the graph, the largest number that is an output of g is -1, and the smallest number is 1. Every number between them is also an output of g for some input.

=> Therefore, the range of g is [-1,1].

shusha [124]3 years ago

3 0

The answer is<span> [-1,1]. </span>

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Would the answer be 0 ?

BartSMP [9]

Answer:

Step-by-step explanation:

For it to be continuous at x=0 we need the left and right limit at x=0 to be equal. We also need those limits to equal what happens at x=0.

A famous limit is:

As x goes to zero, sin(x)/x goes to 1.

So the left limit at x=0 would be 4(1)=4.

The right limit at x=0 would be a-2(0)=a.

So a=4.

So f(0)=4-2(0)=4 also which is what both limits would equal for x=0 if a=4.

8 0

3 years ago

baherus [9]

Answer:

3. $\overline{PM}\cong \overline{ON}$ Distances between two parallel lines $\overline{MN} \ and\ \overline{PO}$

4. $\overline{AC}$ = $\overline{CE}$ : Reason; Corresponding part of ΔACB and ΔDCE

C is the midpoint of $\overline{AE}$ : Reason; $\overline{AC}$ = $\overline{CE}$ : Definition of midpoint

Step-by-step explanation:

3. A parallelogram is defined as a quadrilateral with two opposite sides equal and parallel and having equal opposite interior angles

MNOP is a parallelogram: Reason; Given

$\overline{PM}\left | \right |\overline{ON}$ : Reason; Opposite sides of a parallelogram

∠NOM ≅ ∠OMP: Reason Alternate interior angles

$\overline{MN}\left | \right |\overline{PO}$ : Reason; Opposite sides of a parallelogram

∠NMO ≅ ∠MOP: Reason Alternate interior angles

$\overline{PM}\cong \overline{ON}$ Distances between two parallel lines $\overline{MN} \ and\ \overline{PO}$

4. $\overline{AB}\left | \right |\overline{DE}$ : Reason; Given

∠EAB ≅ ∠AED: Reason; Alternate int. ∠s Thm

∠ABC ≅ ∠EDB : Reason; Alternate int. ∠s Thm

C is the midpoint of $\overline{BD}$ : Reason; Given

$\overline{BC}$ = $\overline{CD}$ : Reason; Definition of midpoint

Therefore, ΔACB ≅ ΔDCE: Reason Angle Angle Side (AAS) Theorem

$\overline{AC}$ = $\overline{CE}$ : Reason; Corresponding part of ΔACB and ΔDCE

C is the midpoint of $\overline{AE}$ : Reason; Definition of midpoint

5 0

3 years ago

Drag and drop the answer into the box to identify each function as linear, exponential, or neither.

Lyrx [107]

Answer:

The first function is linear and the second is neither.

Step-by-step explanation:

A linear function has a constant rate of change.

The rate of change is the slope; it is found using the formula

$m=\frac{y_2-y_1}{x_2-x_1}$

Between the first two points, the slope is

m = (31-11)/(3-1) = 20/2 = 10

Between the next two points, the slope is

m = (51-31)/(5-3) = 20/2 = 10

This function has a constant slope, so the function is linear.

In order for a function to be exponential, the percent change between y-values must be the same.

To find the percent of change, we use the formula

$\text{percent of change}=\frac{\text{amount of change}}{\text{original amount}}$

For the first two points, this is

(5-2)/2 = 3/2 = 1.5

For the next two points, this is

(9-5)/5 = 4/5 = 0.8

This is not the same; this means it is not an exponential function.

4 0

3 years ago

The ordered pair (5,1) satisfied which of the following equations:

Marta_Voda [28]

Replace X and Y in the given equations and see if they are true:

2(5) + 2(1) = 10+2 = 12... does not equal 11 So this in not right.

2(5) +3(1) = 10 + 3 = 13 this is correct.

The answer would be: 2x+3y=13

8 0

3 years ago

The marked price of a fan is Rs 1,620 and selling price is Rs 1,539. Find the discount amount.

vitfil [10]

Answer:

rs. 81

Step-by-step explanation:

given,

mp. = 1620

sp. = 1539

now,

discount = mp - s.p = 1620 - 1539 = 81

5 0

3 years ago