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1. Graph the function g that is formed by applying the indicated sequences of transformations to the function f(x) = |x|. Then find an equation for the function g.
The graph of f is reflected about x axis and shifted to the left 3 units.
2. Find the intercepts, vertex, maximum or minimum value, and range of the quadratic function f(x) = -(x - 3)2 + 2.
3. Find the domain and intercepts of the function f(x) = 4 - 2x/x - 4.
4. Let f(x) = 2x2/x2 - x - 6. Find the vertical and horizontal asymptotes of the graph of f, if any exist. Express your answers as linear equations.
Estimate the value of the property using a DCF model with a discount rate and what is the value of the property to the nearest whole dollar?
A grain silo has a cylindrical shape. Its diameter is16FT , and its height is 47FT . What is the volume of grain that can be stored in the silo?
State Euler's Circuit Theorem. Explain why this theorem should be true and explain Cantor's Diagonalization Argument. Give examples and explain what this argument was used for.
From a balloon 910 feet high, the angle of depression to the ranger headquarters is 64° How far is the headquarters from a point on the ground directly below the ballon?
The group of even permutations of n symbols is denoted by A_n and is called the alternating group of degree n. Show that A_8 contains an element of order 15.
Describe at least five specific problem-solving strategies that these students can use to solve mathematics problems. For each strategy, give an example.
A building has a rectangular base with opposite corners at (1,5) and (3,7). The roof is the graph of f (x,y) = x cos(y) + x + 1. What is the volume of the building and what is the average height of the building?
find any critical numbers for the function fxx610 and then use the second derivative test to decide whether the
You invest $5000 in two stocks. In one year, the value of stock A increases by 9.8% and the value of stock B increases by 6.2%. The total value of the stocks is now $5389.20. How much did you originally invest in each stock?
question to protect their young in the nest peregrine falcons will fly into birds of prey such as ravens at high speed.
Formulate a new hypothesis statement and perform the five-step hypothesis test on the data.
A rifle bullet is fired into the air with a velocity of 700 feet per second at an angle of 65 degrees from the horizontal. Find the magnitude of the horizontal and vertical components of the velocity vector.
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