Which of the following is a key property of the absolute value parent function? a. it is in quadrants iii and iv b. it is u shaped c. it’s vertex is at the origin. d. it has a slope of 1 on the left side

The key  property of the absolute value parent function is:

        C. It’s vertex is at the origin.

The absolute value parent function is given by:

i.e. the graph of the function lie in the first and second quadrant.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places