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. a. 2b. 2. 3. (1) vertical stretch by a factor of 3

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1. a. 2b. 2. 3. (1) vertical stretch by a factor of 3 (2) shift right 5 units
Determine analytically if the following functions are even, odd, or neither.

f(x) = 3×4 – x + 5 f(x) = 5x – 3

Suppose (1, -5) is on the graph of y = f(x). Find a point on the graph of the transformed function y = f(x – 3).

Let f(x) = x2. Find a formula for a function g whose graph is obtained from f by the given sequence of transformations.

(3) reflect across the x-axis

4. Find the slope-intercept form of the line which passes through the points P(3, -5) and Q(-1, 1).

5. A rental car company charges a flat fee of $100 to rent the car for a day, plus $ .10 per mile.

a. Find a linear function that represents the total daily charges C, in dollars, as a function of x, the number of miles driven.

b. If the total charge was $130, how many miles were driven?

6. Find the equation of the line passing through the point (2, -2) and perpendicular to the line y = x – 1

7. Find the equation of a line parallel to y = 5 and passing through the point (1, – 7).

8. Find the average rate of change of the function f(x) = x 2 – 5 over the interval

[-3, 2].

 
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