Question

When the function f(x) = 3(5)x is changed to f(x) = 3(5)x + 22, what is the effect? (4 points) There will be no change to the graph because the exponential portion of the function remains the same. The y-intercept is 22 spaces higher. The x‐intercept is 22 spaces higher. All input values are moved 22 spaces to the right.

Answer 1

the y-intercept is 22 spaces higher.

Explanation:

I don't know, what special operations you want to express with 3(5)x.

as it is written this simply means

3×5×x

no exponents or other special things are visible.

but it should not matter.

whatever is the first function is unchanged the first part of the second function.

so, the only difference is the "+ 22" part.

and that simply means that all y values (the functional result values) are increased by 22.

you know that "f(x) =" has the same meaning as "y =".

and with that also the y-intercept (the y value when x = 0, and therefore the point, where the curve intersects the y-axis) is increased by 22 spaces.