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3 years ago

State if each graph is continuous or discrete. then State whether it is a function

Mathematics

1 answer:

natta225 [31]3 years ago

8 0

Step-by-step explanation:

Discrete data can only have certain values. For example, if you roll a die, there are only 6 numbers you can get. Continuous data can have any value within a range.

Graphically, discrete data will appear as only points, where as continuous data appears as a line or curve.

So the top left and bottom right graphs are discrete. The top right and bottom left graphs are continuous.

To be a function, each x value can only have 1 y value. Graphically, we can check this using the "vertical line method". Imagine a vertical line (or use a ruler or straight edge) and move it from left to right. If it ever crosses the graph in two or more places, the graph is not a function.

Therefore, the graphs on the left are not functions, and the graphs on the right are functions.

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Everything is in the picture please help asap.

NARA [144]

Answer:

$f(x)=x^2$

Step-by-step explanation:

All three functions in the figure are parabolic and thus share the parent function $y=x^2$ . They are horizontally dilated by some constant (unless they aren't) and can all be represented with $y=\pm ax^2$ , where $a$ is some constant.

Plug in point the line passes through to find that constant. For $f(x)$ , we can see the function clearly passes through (2,4):

$4=a\cdot 2^2,\\4=4a,\\a=1$

Therefore, the function of $f(x)$ is $f(x)=1x^2=\boxed{x^2}$

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3 years ago

Elena L [17]

<u>Given</u>:

The distance (in kilometers) Dora hiked is modeled as a function of time.

We need to determine the average rate of change in distance hiked, measured in kilometers per hour, between 8:30 am to 1:30 pm.

<u>Average rate of change:</u>

Let us write the time and the distance hiked in coordinates for the time 8:30 am and 1:30 pm.

Thus, the coordinates are (8.30, 4) and (1,12)

The average rate of change can be determined using the formula,

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

Substituting the points (8.30, 4) and (1.30,12), we get;

$m=\frac{12-4}{1.30-8.30}$

$m=\frac{8}{-7}$

$m=-1.14$

Rounding off to the nearest whole number, we get;

$m=-1$

Therefore, the average rate of change is -1.

7 0

3 years ago

chau rented a truck for one day. There was a base fee of 20.99 and an additional fee of 94 cents per mile. He paid 294.53 when h

Llana [10]

Answer:

291 miles

Step-by-step explanation:

solve and simplify the equation 294.53=.94x+20.99

5 0

4 years ago

Read 2 more answers

What is the mean of 14,22,15,7,0,12

Oksana_A [137]

The mean is 11.666666666667
The median is 13
The mode is 14, 22, 15, 7, 0, 12
Hopefully it helps u

8 0

2 years ago

Read 2 more answers

Multiply the polynomials (x+3)(x^2-6x+5)

LekaFEV [45]

Answer:

$\huge\boxed{x^3-3x^2-13x+15}$

Step-by-step explanation:

$\text{Use FOIL:}\\\\(a+b)(c+d)=ac+ad+bc+bd$

$(x+3)(x^2-6x+5)\\\\=(x)(x^2)+(x)(-6x)+(x)(5)+(3)(x^2)+(3)(-6x)+(3)(5)\\\\=x^3-6x^2+5x+3x^2-18x+15\\\\\text{combine like terms}\\\\=x^3+(-6x^2+3x^2)+(5x-18x)+15\\\\=x^3-3x^2-13x+15$

3 0

3 years ago

State if each graph is continuous or discrete. then State whether it is a function​

State if each graph is continuous or discrete. then State whether it is a function