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Part A. The slope of f(x) is 4. I observed that each time the y value would increase by 4 points every time the x value increases by 1. The slope of g(x) is 2. I identified the m value as it's in slope-intercept form. The slope of f(x) is greater then that of g(x) because 4>2

Part B. The y-intercept of f(x) is greater. It is given that when x is 0, y is -1, so the y intercept of f(x) is -1. Meanwhile, the y-intercept of g(x) is -7 after identifying the b value. -7<-1, concluding that f(x) has a greater y-intercept

Step-by-step explanation:

ty for the points

4 0

2 years ago

Please sketch graph of the function f(x) = |x+2|.

Burka [1]

Answer:

The absolute value can be graphed using the points around the vertex (-2, 0), (-4, 2), (-3, 1), (-1, 1), (0, 2).

Step-by-step explanation:

The find the x coordinate of the vertex, set the inside of the absolute value x + 2 equal to 0. In this case, x + 2 = 0.

x + 2 = 0

Subtract 2 from both sides of the equation.

x = -2

Replace the variable x with -2 in the expression.

y = |(-2) + 2|

The absolute value vertex is (-2, 0).

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

For each x value, there is on y value. Select few z values from the domain. It would be more useful to select the values so that they are around the x value of the absolute value vertex.

Substitute the x value -4 into f(x) = |x+2|. In this case, the point is (-4,2).

y=2

Substitute the x value -3 into f(x) = |x+2|. In this case, the point is (-3,1).

y=1

Substitute the x value 0 into f(x) = |x+2|. In this case, the point is (0,2).

y=2

You can find the graph in the attachment.

6 0

2 years ago

After solving the equation x^2+ 9 = 6x, Donna stated that the Fundamental Theorem of Algebra is true for this equation. However,

Georgia [21]

Answer:

Step-by-step explanation:

The Fundamental Theorem of Algebra states that the number of complex roots a polyomial has is equal to its highest exponent. This is a squared polynomial; second degree; quadratic. When it is factored, no matter what types of numbers you get as the solution, you will ALWAYS have 2 of them. When this quadratic is factored, we get that x = 3 and x = 3. That means that this is a quadratic that touches the x-axis at (3, 0). It doesn't go through, it only touches. We do have 2 roots, but since they're the same, we say we have a multiplicity 2 of that root. The closest you'll come to that in your choices is A. Apparently your text refers to multiplicity 2 as a double root.

3 0

2 years ago