Hi! i really am not the best at math but if someone could me the best way they will be greatly rewarded with 98 4. use a graph to determine if the exponential function g( x) = -6 * 5^x is positive or negative and increasing or decreasing. (a) positive, increasing (b) positive, decreasing (c) negative, increasing (d) negative, decreasing 6. which of the exponential functions below has a y -intercept of 2? (a) f(x)=3^2x (b) g(x)=3^x+1 (c) h(x)=3^x+2 (d) j(x)=3*2^x

they answers for Graphing Exponential Functions

1.C

2.C

3.A

4.C

5.C

6.B

Run me my likes XD

Step-by-step explanation:

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step-by-step explanation:

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1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.