Consider the graph of the quadratic function. which interval on the x-axis has a negative rate of change?
answers:
a. –2 to –1b. –1.5 to 0c. 0 to 1d. 1 to 2.5

The average rate of change is defined as:

For AVR to be negative, it must comply with:

Therefore, we observe that the interval that fulfills these conditions is the whole interval to the right of the parabola.

Among the options given, this interval is:

1 to 2.5

An interval on the x-axis that has a negative rate of change is:

D. 1 to 2.5

The rate of change of a graph is positive when the graph is increasing from left to right and it is negative when it is decreasing from left to right

Reasons:

Rate of change is given by the equation;

Which gives;

In the range where the graph is decreasing from left to right, we have in the x-axis interval, 1 to 2.5, the points (1, 3), and (2.5, -1)

Therefore;

Therefore, the rate of change of the quadratic function in the x-axis interval 1 to 2.5 is , which is negative;

Learn more about rate of change of a quadratic function here:

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the answer is 2/54

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.