Question 1(Multiple Choice Worth 3 points) (06.04 MC)

A student wants to compare how easily a metal and a plastic spoon of the same temperature can transfer thermal energy. Which of the following activities should the student perform?

Measure the effort required to bend each spoon.
Place an ice cube on each spoon and record the rate of melting of the cubes.
Place the spoons at room temperature and record the change in temperature of each.
Measure the change in weight of the spoons after placing them in the freezer for a few minutes.

a- multicellular

b-eukaryotic

c-no cell wall

d-heterotrophic

e-autotrophic

answer-

the statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.

solution-

it solely depends on b, whether the function will have one or two or zero x intercept.

this plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e v shape, with vertex translated to (-a, b), instead of origin.

1-   if b is zero, the graph will have exactly one x-intercept, at x= -a

2- if b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.

3- if b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.

∴ the statement is sometimes true.