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nadya68 [22]
3 years ago
12

Write a paragraph describing the different types of functions. You must use all of the following words at least once:

Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0
A linear function graphs as a line, and is written in the form f(x)=mx+b, with m being the slope and b being the y-intercept. A quadratic function can graph as any of the conic sections, including a parabola, hyperbola, ellipse, or circle. A quadratic function is a function in which the highest variable's power is exactly 2. The most commonly known quadratic function is a parabola, which has an increasing slope in one direction of the x-axis and a decreasing slope in the other. It is a curve that looks similar to a u, and it is written in the form f(x)=ax²+bx+c; c is the y-intercept, and the sign of a determines whether the curve opens up or down. An exponential function is often of the form f(x)=a^(bx)+c, and c can be any polynomial or constant. The function approaches a limit as x approaches infinity in one direction, and approaches infinity in the other direction, determined by the size of a and the sign of b. A straight line refers to a function of the form f(x)=c, c being a constant value.
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4 years ago
Find the value of the expression
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3 years ago
A sum of money is placed at simple interest for 3 years at 10% annum and then the amount is invested for 3 years at the same rat
fgiga [73]

Answer:

Initial principal -$300,000

Investment amount after yr 3-$390,000

Final investment amount, after 6 yrs-$519,090

Step-by-step explanation:

Let X be the amount initially invested.

#The amount after 3 yrs of simple interest is calculated as:

I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X

#The amount after 5 yrs is calculated by compounding the amount after 3 yrs for 2 yrs at 10%:

A=P(1+i)^2\\\\471900=1.3X(1.1)^2\\\\471900=1.573X\\\\X=300000

Hence, the amount initially invested as $300,000

#Amount of invested after 6 yrs is therefore:

A=P(1+i)^n\\\\=471900\times1.1\\\\=519090

Hence, the total amount of the investment after 6 yrs is $519,090

#Substitute X in simple interest equation to find amount after 3 yrs of simple interest:

I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X\\\\=1.3\times 300000\\\\=390000

Hence, the total amount of the investment after first 3 yrs is $390,000

3 0
4 years ago
The function f(x)=5(2)^x was replaced with f(x)+k , resulting in the function graphed below.
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k=-7
5 0
3 years ago
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