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4 years ago

Use the graph to determine the following.

Mathematics

1 answer:

erica [24]4 years ago

4 0

Answer:

Step-by-step explanation:

(a) A graph's domain is the set of X values that can be provided to the graph. Based on the picture, we can provide any values to the graph, so the domain is (-∞, ∞)

(b) A graph's range is the set of Y values that can be returned from the graph. Based on the picture, the graph can not return any value lower than 1, so the range is [1, ∞)

(c) The X-intercept is where the graph crosses the X-axis (or the horizontal line where Y = 0). The graph doesn't cross the X-axis, so there are no X-intercepts.

(d) The Y-intercept is where the graph crosses the Y-axis (or the vertical line where X = 0). The graph crosses the Y-axis at Y = 5, so a Y-intercept is (0, 5).

(e) f(1) is the Y value where X = 1, which is 4. f(5) is the Y value where X = 5, which is 2.

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4 years ago

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3 years ago

Where are the asymptotes for the following function located? (fx)-7/x^2-2x-24

Vladimir [108]

Answer:

Vertical aymptotes at x= -4 and x=6

horizontal asymptote at y=0

Step-by-step explanation:

$f(x)= \frac{-7}{x^2-2x-24}$

To find out vertical asymptote we take the denominator =0 and solve for x

x^2-2x-24=0

sum = -2 and product = -24

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Now we set each factor =0 and solve for x

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3 years ago

Maye is 28 years old. She is 12 years older than 23 of Laurel's age. Which equation can be used to find Laurel's age, a?

gladu [14]

Answer: 24 years

Step-by-step explanation:

Let Laurel's age be represented by x.

Since Maye is 28 years and he is 12 years older than 2/3 of Laurel's age, this can be represented in an equation as:

(2/3 × x) + 12 = 28.

2x/3 = 28 - 12

2x/3 = 16

Cross multiply

2x = 16 × 3

2x = 48

Divide by 2

x = 48/2

x = 24

Therefore, Laura is 24 years

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3 years ago