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loris [4]
3 years ago
9

Identify the type of function represented by each graph​

Mathematics
1 answer:
mario62 [17]3 years ago
6 0

Answer:

13. Linear Function

12. Absolute Value Function

11. Quadratic Function

10. Constant and Linear Function

Step-by-step explanation:

13. This graph is in Slope-Intercept Form, y = mx + b. The equation of this line is y = x + 1.

12. This graph obviously is an Absolute Value graph because it is in the shape of a "V".

11. This graph is in the shape of a parabola, so it is considered "Quadratic".

10. This line is constant because it is a horizontal line, but it is ALSO considered a linear function<em> </em>because it is in the form of y = mx + b, and the equation of this line is y = -2, where you have NO <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]. This is what you call horizontal lines, zero slopes.

I am joyous to assist you anytime.

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Solve y = x + 6 for x.
Anni [7]

Y = x + 6

Subtract 6 from each side:

Y - 6 = X

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3 years ago
A piecewise function is shown below
Greeley [361]

Answer:

p = 5/7

Step-by-step explanation:

The given function is:

g(x) = -3x^{2} - 2x + 8 for -4 ≦ x < 1

g(x) = -2x + 7p for 1 ≦ x ≦ 5

Part a)

A continuous function has no breaks, jumps or holes in it. So, in order for g(x) to be continuous, the point where g(x) stops during the first interval -4 ≦ x < 1 must be equal to the point where g(x) starts in the second interval 1 ≦ x ≦ 5

The point where, g(x) stops during the first interval is at x = 1, which will be:

-3(1)^{2}-2(1)+8=3

The point where g(x) starts during the second interval is:

-2(1)+7(p) = 7p - 2

For the function to be continuous, these two points must be equal. Setting them equal, we get:

3 = 7p - 2

3 + 2 = 7p

p = \frac{5}{7}

Thus the value of p for which g(x) will be continuous is \frac{5}{7}.

Part b)

We have to find p by setting the two pieces equal to each other. So, we get the equation as:

-3x^{2}-2x+8=-2x+7p\\\\ -3x^{2}+8=7p

Substituting the point identified in part (a) i.e. x=1, we get:

-3(1)^{2}+8=7p\\\\ 5=7p\\\\ p=\frac{5}{7}

This value agrees with the answer found in previous part.

8 0
3 years ago
(30 points 2nd grade math) The table shows the relationship between two variables. Which selection describes the
Pani-rosa [81]

The answer is Decreasing nonlinear

Because its decreasing but its not decreasing at the same rate  

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Find the solution set for this inequality. SHOW YOUR WORK OR NO CREDIT<br> -2x+4&gt;-4x+8
Digiron [165]

Answer:

x<2 is your answer

Step-by-step explanation:

-2x+4>-4x+8

subtract each term by 8

-2x+4-8>-4x+8-8

add both side by 2x

-2x+2x-4>-4x+2x

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dividing both term by -2

-2x/-2<-4/-2

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3 years ago
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Use the unit circle to find sec (-90)
andreyandreev [35.5K]

Using the unit circle, you can visualise the secant as follows:

  1. Draw the vertical line passing trough (1,0)
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Since -90 means that the radius points downwards, it means that the radius is vertical as well, and thus it never meets the vertical line through (1,0).

Thus, the secant is not defined at -90.

In fact, if we switch back to the function notation, we can confirm this claim, since we have

\sec(x)=\dfrac{1}{\cos(x)}\implies \sec(-90)=\dfrac{1}{\cos(-90)}=\dfrac{1}{0}

which is undefined.

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