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5 Simple Algebra and Function Questions

See the attached file.

1. Determine whether the graph of y = 3 + x2 is symmetric with respect to
the x-axis, the y-axis, or the origin.

2. A salesperson earns a base salary of $2,000 per month and a commission
of 5% on the amount of sales made. If the salesperson has a paycheck of
$3,006 for one month, what was the amount of sales for the month?

Solution: (correct?)

2,000 + .05(x) = 3006

2000 + .05(x) -2000 = 3006 - 2000

.05x = 1006

.05x / .05 = 1006 / .05

X = 20,120

The salesperson had $20,120 in sales for the month.

(2000+.05(20,120) = 3,006

3. For x values in what interval (s) is the function increasing?

4. a. Given f (x) = 4/x2 and g(x) = 3 - 2x, find the composite function
(f o g)(x) and simplify.

b. Write the equation for a function that has a graph with the
given characteristics.
The shape of y = |x| but stretched vertically by a factor of 2 and shifted right 3 units.

5. a. Solve for n: 2(n - 1) = 3(n + 5)

Solution:

b. Find the zero of the function f(x) = 8 - 2x

Solution: ?

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I've included my explanations in the Word document.

1. Determine whether the graph of y = 3 + x2 is symmetric with respect to
the x-axis, the y-axis, or the origin.

Since y=(x-0)^2+3,
the graph is symmetric with respect to the y axis.

2. A salesperson earns a base salary of $2,000 per month and a commission
of 5% on the amount of sales made. If the ...

Solution Summary

The five simple algebra and function questions are examined.

$2.19