15.04.2023

The graphs of linear functions f and g are shown on the grid which function is the best represented by the graph of g

. 4

Faq

Mathematics
Step-by-step answer
P Answered by Master

a

Step-by-step explanation:

Domain means the change in x.

so the domain will be which values of x the fn goes through.

you can see the black line goes from -9 to 2 in x values.

the -9 isn't filled in, but the 2 is. filled in means it will be with an equals instead of without.

so x is between -9 and 2, 2 is with equals -9 is without,

so the first one.

Mathematics
Step-by-step answer
P Answered by PhD

– 5 ≤ x < 3

Step-by-step explanation:

NOTE: The domain is all posible values indicated on the x-axis.

From the graph given in question above, it is evident that x lies between – 5 and 3.

A careful observation of the graph reveals that x is less than or equal to – 5 (i.e x ≤ – 5) since the tip of the line indicating that x is – 5 is shaded. On the other hand, x is less than 3 ( ie x < 3) since the tip of the line indicating that x is 3 is not shaded.

Thus, we say that:

x ≤ – 5

x < 3

Combining the above expression together, we have

– 5 ≤ x < 3

Mathematics
Step-by-step answer
P Answered by PhD

-3 < x ≤ 7

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We can see from the graph that our x-values that can be inputted are from -3 to 7. Since -3 is an open dot, we cannot include this in our domain.

∴ -3 < x ≤ 7

Mathematics
Step-by-step answer
P Answered by PhD

A

Step-by-step explanation:

The domain of a function is the span of x-values covered by the graph.

From the graph, we can see that it stretches from x=-7 to x=2.

However, note that at x=-7, the dot is closed (shaded in). In other words, x=-7 is in our domain.

On the other hand, at x=2, the dot is not shaded. So, x=2 is not included in our domain.

Therefore, our domain all are numbers between -7 and 2 including -7 (and not including 2).

As a compound inequality, this is:

-7\leq x

So, our answer is A.

Also note that we use x instead of p(x) because the domain relates to the x-variable. If we were to instead find the range, then we would use p(x).

Mathematics
Step-by-step answer
P Answered by PhD

– 5 ≤ x < 3

Step-by-step explanation:

NOTE: The domain is all posible values indicated on the x-axis.

From the graph given in question above, it is evident that x lies between – 5 and 3.

A careful observation of the graph reveals that x is less than or equal to – 5 (i.e x ≤ – 5) since the tip of the line indicating that x is – 5 is shaded. On the other hand, x is less than 3 ( ie x < 3) since the tip of the line indicating that x is 3 is not shaded.

Thus, we say that:

x ≤ – 5

x < 3

Combining the above expression together, we have

– 5 ≤ x < 3

Mathematics
Step-by-step answer
P Answered by Master
Y=-3x+5 because the line crosses the y-axis at (0,5) and the slope is -3 because the rise/run saying it goes down 3 and over 1 which can be simplified to -3.
Mathematics
Step-by-step answer
P Answered by PhD

option A is correct if operation A is correct make me as brainleylist

Mathematics
Step-by-step answer
P Answered by PhD

y = \frac{4}{3}x + 4

Step-by-step explanation:

The equation of the function can be written in the slope-intercept form which is, y = mx + b.

Let's find slope, m, and y-intercept, b, of the graph, then substitute their values into y = mx + b to get the equation for the linear equation k, represented in the graph.

Find slope, m, using points (0, 4) and (-3, 0):

m = \frac{y_2 - y_1}{x_2 -x_1} = \frac{0 - 4}{-3 - 0} = \frac{-4}{-3} = \frac{4}{3}

y-intercept, b, is where the line cuts across the y-axis. Therefore, b = 4.

Substitute m = ⁴/3, and b = 4 into y = mx + b.

y = \frac{4}{3}x + 4.

The equation that best represents the graph is y = \frac{4}{3}x + 4.

Mathematics
Step-by-step answer
P Answered by PhD

I believe its the second one y-2=75(x-7)

Step-by-step explanation:

sorry if its wrong but I hope its right good luck!

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