X- y-
1. 2
2. 3.
3. 4
4. 5.
the rate of change for the interval shown in the table is a. constant or b. non constant, so the function is an a. linear or b. non linear

Each time x goes up by 1, y also goes up by 1 as well.

slope = rise/run = 1/1 = 1

Or we can use the slope formula to get

m = (y2-y1)/(x2-x1) = (3-2)/(2-1) = 1/1 = 1

I used the first two rows as the points to plug into the slope formula.

You can pick any two rows you want and you'll get the same slope value.

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Because we get the same result of 1 each time, this means the rate of change is constant and this function is linear. Plotting all four points will show a single straight line goes through all of them. See diagram below.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!