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AURORKA [14]
3 years ago
7

Please help me. What is the scale factor?

Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0
Scale factor,k
k =  \frac{length \: of \: image}{length \: of \: object}
k =  \frac{6}{3}
k =  2
\frac{1}{2}  =  \frac{x}{5.5}
\frac{11}{4}  = x

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write the given equation into vertex form and sketch the graph. Determine the domain and range f(x)=3x^2-6+2 plss help
LuckyWell [14K]

Answer: the range would thus be [-3, 1/3].)

Step-by-step explanation:

1. To sketch the function f(x) = (2/3)x - 3, we first need to find two points that we can later join to sketch the line, for example the x- and y-intercepts.

a) The x-intercept occurs when f(x) = 0, so if f(x) = 0, then:

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We have now found the x-intercept at (9/2, 0)

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c) All that's left is to sketch the graph axes and label them, plot the two points, join them together using a ruler and label their coordinates.

2. The Domain is the range of x-values for which the function exists, and the Range is the range of y-values for which the function exists.

Since there haven't been any constraints specified, we can say that both the Domain and Range are (-∞, ∞), since the graph continues forever both along the x- and y-axis.

(Note that this isn't always the case and would change if, for example, the question stipulated that there was a domain of [0, 5] and you had to find the range. Then, you would calculate the value of y at each end of the domain (if x = 0, y = -3 and if x = 5, y = 1/3) - in my example, the range would thus be [-3, 1/3].)

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