In Algebra, we learn about functions of various types. These functions are often seen in a
progression from least complicated (linear) to
most complicated (piecewise with nonlinear
parts). And then there are other types of
functions in-between: exponential, quadratic,
polynomial, radical, and logarithmic. But with all
their differences and unique properties, these
share a common trait of being functions that we
can graph in a coordinate plane.
What are some other things you can observe to
have that same quality of functions: unique, but
sharing a common trait or purpose?

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

step-by-step explanation:

no solution.

they would have to work 32 hours.

the area of the rectangle is 35units^2.

step-by-step explanation:

graph it and find the distance.

it is a 5*7 rectangle.

therefore the area is 35units^2.